Question

how to solve this? please answer

Answer 1

Thanks for the interesting question! Let us consider three numbers as 9570, 1 and 1. Therefore, LCM = 9570,  HCF = 1 Now if we consider three numbers as 9570, 9570 and 9570. Then, LCM = 9570,   HCF = 9570 But in the above-mentioned question, choices have already been given and we are supposed to eliminate values which can not be HCF. Upon, prime factorization of 9570, we get solution as 9570 = 2*3*5*11*29 And we know that HCF must always be a factor of LCM. So from the given choices in the question itself, only 11 can be the HCF. Hence, 11 is the answer. Hope it helps!

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