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k is the greatest number which, when divides 2996, 4752 and 7825, the remainder in each case is the same. The product of the digits of k is

k is the greatest number which, when divides 2996, 4752 and 7825, the remainder in each case is the same. The product of the digits of k is Correct Answer 108

Given:

k is the greatest number which, when divides 2996, 4752 and 7825, the remainder in each case is the same.

Concept used:

HCF - The greatest number which divides each of the two or more numbers

Calculation:

According to the question

⇒ (7825 – 4752) = 3073

⇒ (7825 – 2996) = 4829

⇒ (4752 – 2996) = 1756

Now,

HCF of 3073, 4829 and 1756 is

⇒ 3073 = 7 × 439

⇒ 4829 = 11 × 439

⇒ 1756 = 2 × 2 × 439

So, k = 439

Now,

The product of the digits of k = (4 × 3 × 9)

⇒ 108

∴ The product of the digits of k is 108

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