Find the largest number which divides 320 and 457, leaving remainders 5 and 7 respectively.
∵ we are getting 5 and 7 as remainder.
Subtracting 5 and 7 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 320 - 5 = 315 and 457 - 7 = 450.
Prime factorization of numbers -
315 = 3 × 3 × 5 × 7
450 = 2 × 3 × 3 × 5 × 5
HCF of given numbers = 3 × 3 × 5 = 45.