What is the greatest number that will divide 209 and 347 leaving remai

1.	What is the greatest number that will divide 209 and 347 leaving remainder 5 and 7 respectively?1. 232. 163. 194. 17
Answer» Correct Answer - Option 4 : 17 Given: two numbers are 209 and 347. Concept Used: HCF calculation is used. Calculation: The required numbers is HCF of (209 - 5) and (347 - 7). 209 - 5 = 204 347 - 7 = 340 Prime factorization of 204 and 340, 204 = 2 × 2 × 3 × 17 340 = 2 × 2 × 5 × 17 So, HCF of 204 and 340 = 2 × 2 × 17 = 68. In the given option is 17 is only factor of 68 . So, the required numbers = 17 ∴ The greatest number that will divide 209 and 347 leaving remainder 5 and 7 respectively is 17.

What is the greatest number that will divide 209 and 347 leaving remainder 5 and 7 respectively?1. 232. 163. 194. 17

Answer» Correct Answer - Option 4 : 17

Given:

two numbers are 209 and 347.

Concept Used:

HCF calculation is used.

Calculation:

The required numbers is HCF of (209 - 5) and (347 - 7).

209 - 5 = 204

347 - 7 = 340

Prime factorization of 204 and 340,

204 = 2 × 2 × 3 × 17

340 = 2 × 2 × 5 × 17

So, HCF of 204 and 340 = 2 × 2 × 17 = 68.

In the given option is 17 is only factor of 68 .

So, the required numbers = 17

∴ The greatest number that will divide 209 and 347 leaving remainder 5 and 7 respectively is 17.

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