Question

What is greatest no. That divides 30,53,99 to leave the same reminder?

Answer 1

Answer:

Greatest number diving 30, 53, 99 and leaving same remainder will be the HCF of difference between the given numbers taking 2 at a time.

So, 53–30=23.

99–30=69.

And 99–53=46.

So, HCF of 23,69,46 is 23.

Therefore, the greatest number that divides 30, 53, and 99 to leave the same reminder is 23.

Step-by-step explanation:

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