Question

3) The HCF of 10 and 15 is .....​

Answer 1

Answer:

Find the highest common factor (H.C.F) of 15 and 10.

Factors of 15 = 1, 3, 5 and 15. Factors of 10 = 1, 2, 5 and 10. Therefore, common factor of 15 and 10 = 1 and 5. Highest common factor (H.C.F) of 15 and 10

Hence answer is = 5

Answer 2

SOLUTION

TO DETERMINE

The HCF of 10 and 15

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 10 and 15

We now prime factorise the given numbers

10 = 2 × 5

15 = 3 × 5

Hence the required HCF

= The greatest number that divides each of the numbers

= 5

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