Find Interview Questions for NETCLUES TECHNOLOGIES PVT .

We are given three numbers:
187, 233, and 279

We are to find the greatest number that will divide all three and leave the same remainder in each case.

✅ Key Concept:

If a number leaves the same remainder when dividing multiple numbers, then the differences between those numbers must be divisible by that number.

✅ Step 1: Find the pairwise differences:

• 233 − 187 = 46

• 279 − 233 = 46

• 279 − 187 = 92

So we now need to find the HCF of 46 and 92.

✅ Step 2: HCF of 46 and 92

• 92 ÷ 46 = 2 (exact)

✅ So, HCF = 46

✅ Final Answer:

The greatest number that will divide 187, 233, and 279 leaving the same remainder is 46.