Find the largest number which divides 438 and 606, leaving remainder 6 in each case.

∵ we are getting 6 as remainder.

Subtracting 6 from the dividend 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 438 - 6 = 432 and 606 - 6 = 600.

Prime factorization of numbers -

432 = 2 × 2 × 2 × 2 × 3 × 3 × 3

600 = 2 × 2 × 2 × 3 × 5 × 5

HCF of given numbers = 2 × 2 × 2 × 3 = 24.