Question

The H.C.F of 7 and 35 is​

Answer 1

Answer:

7

Step-by-step explanation:

The factors of 35 are 35, 7, 5, 1. The common factors of 7 and 35 are 7, 1, intersecting the two sets above. In the intersection factors of 7 ∩ factors of 35 the greatest element is 7. Therefore, the greatest common factor of 7 and 35 is 7.

Answer 2

SOLUTION

TO DETERMINE

The HCF of 7 and 35

CONCEPT TO BE IMPLEMENTED

HCF :

For the given two or more numbers HCF is the greatest number that divides each of the numbers

LCM :

For the given two or more numbers LCM is the least number which is exactly divisible by each of the given numbers

EVALUATION

Here the given numbers are 7 and 35

We now prime factorise the given numbers

7 is a prime number

35 = 5 × 7

Hence the required HCF

= The greatest number that divides each of the numbers

= 7

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