Highest Common Factor
Highest Common Factor
The highest number that divides exactly into two or more numbers.It is the "greatest" thing for simplifying fractions.
To find the highest common factor of two (or more) numbers, make prime factors of the numbers and identify the common prime factors. Then the highest common factor is the product of the common prime factors.
Illustration 1: Find HCF of 8 and 12 .
Solution: Factors of 8 : 1,2,4,8
Factors of 12 : 1,2,3,4,6,12
So, the common factors of 8 and 12 are:1,2,4
HCF = 4
Illustration 2: Find HCF of 10 and 12 .
Solution: Factors of 10 : 1,2,5,10
Factors of 12 : 1,2,3,4,6,12
So, the common factors of 10 and 12 are:1,2
HCF = 2
Illustration 3: Find HCF of 10,20 and 30 .
Solution: Factors of 10 : 1,2,5,10
Factors of 20 : 1,2,4,5,10,20
Factors of 30 : 1,2,3,5,6,10,15,30
So, the common factors of 10,20 and 30 are:1,2,5,10
HCF = 10
Find the HCF of 101 and 573. | |||
| Right Option : B | |||
| View Explanation |
L.M.C. of 17 and 5 is: | |||
| Right Option : C | |||
| View Explanation | |||
HCF of 24 and 36 is______________ | |||
| Right Option : D | |||
| View Explanation | |||
Students / Parents Reviews [10]
A 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
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
10thIt was a good experience with Abhyas Academy. I even faced problems in starting but slowly and steadily overcomed. Especially reasoning classes helped me a lot.
Cheshta
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
10thOne 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
10thMy 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
8thAbhyas Methodology is very good. It is based on according to student and each child manages accordingly to its properly. Methodology has improved the abilities of students to shine them in future.
Manish Kumar
10thAbout 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
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
Yatharthi Sharma
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.
