Find the largest number which divides 546 and 764, leaving remainders 6 and 8 respectively.
∵ we are getting 6 and 8 as remainder.
Subtracting 6 and 8 from the dividends will give us the exact division.
So let’s subtract the remainder and find the HCF of numbers (largest number which divides both the number) -
We need to find HCF of 546 - 6 = 540 and 764 - 8 = 756.
Prime factorization of numbers -
540 = 2 × 2 × 3 × 3 × 3 × 5
756 = 2 × 2 × 3 × 3 × 3 × 7
HCF of given numbers = 2 × 2 × 3 × 3 × 3 = 108