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
HCF of 120, 144 and 216 is ____________________ | |||
| Right Option : B | |||
| View Explanation | |||
HCF of 24, 36 and 56 is ________________ | |||
| Right Option : D | |||
| View Explanation | |||
L.C.M. of two co-prime numbers is their: | |||
| Right Option : C | |||
| 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
7thIt 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
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
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Ayan Ghosh
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
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Prisha Gupta
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
10thAbhyas 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
10thMy 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
7thIt 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
