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
M and N are co-prime numbers, M is lowest even prime number and N is lowest odd prime number. Which one of the following is their product ? | |||
| Right Option : A | |||
| View Explanation | |||
HCF of 120, 144 and 216 is ____________________ | |||
| Right Option : B | |||
| View Explanation | |||
L.C.M. of two co-prime numbers is their: | |||
| Right Option : C | |||
| View Explanation | |||
Students / Parents Reviews [10]
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Cheshta
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Archit Segal
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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.
