Question

what will the greatest number that will divide 172 430 and 514 leaving remainder 2 5 and 4 respectively?
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Answer 1

Answer:

170

Step-by-step explanation:

1. 172-2=170
2. 430-5=425
3. 514-4=510

170= 2×5×17

425=5×5×17

510=2×5×17×3

HCF (170,425,510)=17×5×2

=170

Therefore the greatest number which divide 172,430and 514 leaving remainder 2,5 and 4 resp. is 170.