Question

8. The product of two numbers is 23625 and LCM is 315. The HCF of the number is
(1) 315
(2) 23625
(3) 75
(4) 15​

Answer 1

Answer:

product = 23625

LCM      = 315

HCF = product/LCM

        = 23625/315

        = 75

Answer 2

Answer:

(3) 75

Step-by-step explanation:

First of all,you must remember the rule-

For any two number - a and b

Product of a and b = Product of LCM and HCF of a and b

That is, (a*b) = LCM (a,b) * HCF (a,b)

SO,

HCF (a,b) = (a*b) / LCM (a,b)

Here,

(a*b) =23625

LCM (a,b) = 315

So,

HCF (a,b) = (a*b) / LCM (a,b)

= 23625 / 315

= 75

Option (3) 75 - ANSWER

Hope you get it