Question

The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively is

Answer 1

Step-by-step explanation:

Number 1 = N1 = 1657

Remainder = 6

Number 2 = N2 = 2037

Remainder = 5

Thus,

N1 = 1657-6=1651

N2 = 2037-5=2032

Finding the HCF of both the numbers -

Highest Common Factor (HCF) of two or more numbers is the greatest number that divides each of them exactly.

HCF of 1657 = 13,127

HCF of 2037 = 2,2,2,2,127

The common factor between the two numbers -127

Therefore, the greatest number is 127.