Question

Find the greatest number which on dividing 147 and 267 leaving remainder 3 in each case.​

Answer 1

Answer:

24

Step-by-step explanation:

147 - 3 = 144

267-3= 264

Hcf of 264 and 144 is 24 that's the ans

Answer 2

Answer:

The greatest number is 24.

Step-by-step explanation:

• Remainder: If one number is not divisible by a number, then a value remains. This remaining value is called remainder.

       Example- If 15 is divided 4 then quotient will be 3 and remainder will be 15 - 12 = 3.

• As we need a remainder 3, so if we subtract 3 from the numbers then the value will become divisible by the divisor.

       147 - 3 = 144

       267 - 3 = 264

On factorizing the numbers we get,

144 = 2 × 2 × 2 × 2 × 3 × 3

264 = 2 × 2 × 2 × 3 × 11

Now the common factor is 2 × 2 × 2 × 3 = 24

       ∴ The greatest number is 24.

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