Question

Find the HCF of (3125-1) and (335-1).
A.34-1
B.35-1
C.312-1
D.None of these

Answer 1

The solution of this question is based on the rule,

The HCF of (am-1) and (an-1) is given by (aHCF of m,n -1).

Thus for this question the answer is (35-1).
Since, 5 is the HCF of 35 and 125.

Answer 2

Question:

Find the HCF of (3^125 – 1) and (3^35 – 1).

Step-by-step explanation and answer:

Formula - HCF - (a^m -1 ) and (a^n -1) = (a^(HCF m*n) - 1)

Therefore, HCF of 3^125 and 3^35 is 5

(Since the first multiple of 125 and 15 is 5)

Answer- (3^5 -1)