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.
H.C.F. of two co-prime numbers is ___________________ | |||
| Right Option : A | |||
| View Explanation | |||
Difference between a prime 19 and a composite 25 number is: | |||
| Right Option : A | |||
| View Explanation | |||
LCM of two numbers = ____________________ | |||
| Right Option : A | |||
| View Explanation | |||
Students / Parents Reviews [20]
My 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
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7thOne 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.
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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...
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Manya
8thAbout 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.
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Manish Kumar
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
10thA 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.
Archit Segal
7thMy 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
7thAbhyas 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
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Eshan Arora
8thThird consective year,my ward is in Abhyas with nice experience of admin and transport support.Educational standard of the institute recumbent at satisfactory level. One thing would live to bring in notice that last year study books was distributed after half of the session was over,though study ...
Ayan Ghosh
8thI 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
