Relationship Between HCF & LCM
Relation Between H.C.F. and L.C.M.
HCF : HCF stand for Highest Common Factor.It is also known as Greatest Common Division (GCD). The HCF of two or more given numbers is the highest of their common factors.
LCM: LCM stand for Lowest Common Multiple.It is also known as Smallest or Least Common Multiple.The LCM of two or more given numbers is the lowest of their common multiples.
Relation between HCF and LCM:
Product of two numbers = Product of their HCF and LCM.
X x Y = HCF (X , Y) X LCM (X ,Y).
Illustration1 : HCF of two numbers is 16 and their product is 6400.Find their LCM ?
Solution: Product of two numbers = HCF X LCM
6400 = 16 X LCM
LCM =
LCM=400.
Illustration2: LCM of two numbers is 15 and their product is 7500.Find their HCF?
Solution: Product of two numbers = HCF X LCM
7500 = HCF X 15
HCF =
HCF = 500.
Illustration 3 : HCF and LCM of two numbers is 16 and 15 respectively. Find their Product ?
Solution: Product of two numbers = HCF X LCM
Product of two numbers = 16 X 15
Product of two numbers = 240.
Illustration 4 : HCF and LCM of two numbers is 14 and 20 respectively. If one of the number is 10 , Find the other ?
Solution: Product of two numbers = HCF X LCM
10 X other number = 14 X 20
other number =
other number = 14 X 2 =28.
HCF and LCM of two number are 12 and 72 respectively. If the difference of the number is 60, then the large number is ________________ | |||
| Right Option : D | |||
| View Explanation | |||
If LCM of X and Y is Z, which one of the following is correct for finding the HCF? | |||
| Right Option : C | |||
| View Explanation | |||
According to the common property of LCM and HCF, which one of the following is correct? | |||
| Right Option : A | |||
| View Explanation |
Students / Parents Reviews [20]
About Abhyas metholodology the teachers are very nice and hardworking toward students.The Centre Head Mrs Anu Sethi is also a brilliant teacher.Abhyas has taught me how to overcome problems and has always taken my doubts and suppoeted me.
Shreya Shrivastava
8thMy experience with Abhyas is very good. I have learnt many things here like vedic maths and reasoning also. Teachers here first take our doubts and then there are assignments to verify our weak points.
Shivam Rana
7thIn terms of methodology I want to say that institute provides expert guidence and results oriented monitering supplements by requsite study material along with regular tests which help the students to improve their education skills.The techniques of providing education helps the students to asses...
Aman Kumar Shrivastava
10thIt has a great methodology. Students here can get analysis to their test quickly.We can learn easily through PPTs and the testing methods are good. We know that where we have to practice
Barkha Arora
10thI have spent a wonderful time in Abhyas academy. It has made my reasoning more apt, English more stronger and Maths an interesting subject for me. It has given me a habbit of self studying
Yatharthi Sharma
10thAbhyas is a complete education Institute. Here extreme care is taken by teacher with the help of regular exam. Extra classes also conducted by the institute, if the student is weak.
Om Umang
10thAbhyas institute is one of the best coaching institute in the vicinity of Ambala cantt.The institute provides good and quality education to the students.The teachers are well experienced and are very helpful in solving the problems. The major advantages of the institute is extra classes for weak...
Shreya Shrivastava
8thMy experience with Abhyas academy is very nice or it can be said wonderful. I have been studying here from seven class. I have been completing my journey of three years. I am tinking that I should join Abhyas Academy in tenth class as I am seeing much improvement in Maths and English
Hridey Preet
9thUsually we see institutes offering objective based learning which usually causes a lag behind in subjective examinations which is the pattern followed by schools. I think it is really a work of planning to make us students grab the advantages of modes of examination, Objective Subjective and Onli...
Anika Saxena
8thOne of the best institutes to develope a child interest in studies.Provides SST and English knowledge also unlike other institutes. Teachers are co operative and friendly online tests andPPT develope practical knowledge also.
Aman Kumar Shrivastava
10thAbhyas institute is one of the best coaching institute in the vicinity of Ambala Cantt area. The teachers of the institute are well experienced and very helpful in solving the problems of the students.The good thing of the institute is that it is providing extra classes for the students who are w...
Aman Kumar Shrivastava
10thBeing a parent, I saw my daughter improvement in her studies by seeing a good result in all day to day compititive exam TMO, NSO, IEO etc and as well as studies. I have got a fruitful result from my daughter.
Prisha Gupta
8thMy experience was very good with Abhyas academy. I am studying here from 6th class and I am satisfied by its results in my life. I improved a lot here ahead of school syllabus.
Ayan Ghosh
8thMy experience with Abhyas academy is very good. I did not think that my every subject coming here will be so strong. The main thing is that the online tests had made me learn here more things.
Hiya Gupta
8thAbhyas is an institute of high repute. Yogansh has taken admission last year. It creates abilities in child to prepare for competitive exams. Students are motivated by living prizes on basis of performance in Abhyas exams. He is satisfied with institute.
Yogansh Nyasi
7thAbhyas academy is great place to learn. I have learnt a lot here they have finished my fear of not answering.It has created a habit of self studying in me.The teachers here are very supportive and helpful. Earlier my maths and science was good but now it has been much better than before.
Barkha Arora
10thIt was good as the experience because as we had come here we had been improved in a such envirnment created here.Extra is taught which is beneficial for future.
Eshan Arora
8thWhen I have not joined Abhyas Academy, my skills of solving maths problems were not clear. But, after joining it, my skills have been developed and my concepts of science and SST are very well. I also came to know about other subjects such as vedic maths and reasoning.
Sharandeep Singh
7thWe started with lot of hope that Abhyas will help in better understnding of complex topics of highers classes. we are not disappointed with the progress our child has made after attending Abhyas. Though need to mention that we expected a lot more. On a scale of 1-10, we would give may be 7.
Manya
8thA marvelous experience with Abhyas. I am glad to share that my ward has achieved more than enough at the Ambala ABHYAS centre. Years have passed on and more and more he has gained. May the centre flourish and develop day by day by the grace of God.
