Question

sir H.C.F means highest common factor Finding H.C.F of 60 and 72 if 60 factors = 1,2,3,4,5,6,10,12,15,20,30,60 and 72 factors are= 1,2,3,4,6,8,9,12,18,24,36,72 in these both common factors are 1,2,3,4,6,12 in these highest common number is 12 so h.c.F is 12 but why we solve as product of the smallest power of each common prime factors of the number plz plz explain sir / madam​

Answer 1

Step-by-step explanation:

The highest common factor is found by multiplying all the factors which appear in both lists: So the HCF of 60 and 72 is 2 × 2 × 3 which is 12.

Answer 2

H.C.F is the largest number which divides the given numbers, so we take the smallest powers while L.C.M is smallest number which is divisibe by the given numbers ;)