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What is the greatest number that will divide 366, 513 and 324 leaving the same remainder in each case?
1. 27
2. 21
3. 18
4. 42

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Correct Answer - Option 2 : 21

Given:

Our given number are 366, 513 and 324

Concept used:

The greatest number which divides the three numbers x, y and z and leaving the same remainder in each case then the required number is HCF of (x – y, y – z, z – x)  

Calculation:

Our given number are 513, 366 and 324

Now, (513 – 366), (366 – 324), (513 – 324)

⇒ 147, 42, 189

HCF of 147, 42, 189 is 21

∴ The required number is 21

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