Highest Common Factor
Highest Common Factor
Highest Common Factor:
We can find the common factors of any two numbers. We now try to find the highest of these common factors.
WHat are the common factors of 12 ND 16? They are 1, 2 and 4.
What is the highest of these common factors? It is 4.
What are the common factors of 20, 28 and 36? They are 1, 2 and 4 and again 4 is highest of these common factors.
The Highest common factor ( HCF) of two or more given numbers is the highest ( or greatest) of their common factors. It is also known as Greatest Common Divisor ( GCD )
The HCF of 20, 28 and 36 can also be found by prime factorisation of these number as follows:
Thus, 20 =
28 =
36 =
The common factor of 20, 28 and 36 is 2 ( occuriing twice) . Thus. HCF of 20, 28 and 36 is
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 | |||
If z is the H.C.F of x and y, then the H.C.F of | |||
| Right Option : D | |||
| View Explanation | |||
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