Question

find the greatest number that will divide 43,91 and 183 so as to leave the same remainder in each case​

Answer 1

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Step 1 : Find the difference of the numbers.

We have,

43, 91, 183

Difference :-

• 183 - 91 = 92

• 183 - 43 = 140

• 91 - 43 = 48

Step 2 - Find the H.C.F of difference.

HCF of 92, 140, 48

48 → 2 × 2 × 2 × 2 × 3

92 → 2 × 2 × 23

140 → 2 × 2 × 5 × 7

Highest Common Factor (HCF) = 2 × 2 = 4

Therefore, the greatest number that will divide 43,91 and 183 so as to leave the same remainder in each case is 4.

Explore More !!

• HCF refers to Highest Common factor.

• LCM refers to Least common factor.

• HCF is also Known as GCD.

• GCD refers to Greatest common divisor.

• Product of HCF and LCM of two number is equal to the product of the numbers.

• HCF of given number is not greater than any of the numbers.

• LCM of given numbers is not smaller than any of the numbers.

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