Question

If LCM (60, 72) =360, then HCF (60, 72) is​

Answer 1

Answer:

We want to find the HCF and LCM of the numbers 60 and 72. ... So the HCF of 60 and 72 is 2 × 2 × 3 which is 12. The lowest common multiple is found by multiplying all the factors which appear in either list: So the LCM of 60 and 72 is 2 × 2 × 2 × 3 × 3 × 5 which is 360.

Answer 2

Answer:

12 is the HCF of  60 and 72.

Step-by-step explanation:

Explanation:

Given that, LCM of 60 and 72 = 360

Let x be the HCF of 60 and 72.

As we know that the product of two numbers is equal to the product of LCM and HCF.

Step 1:

We have two numbers 60 and 72.

LCM of 60 and 72 = 360.

Therefore,

Product of 60 and 72 = Product of their  LCM  and HCF.

⇒60 × 72 = 360 × x

⇒ x = $\frac{60 . 72 }{360}$ = 12

Final answer:

Hence, 12 is the HCF of  60 and 72.

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