Question

what is the greatest number that divides 30,53,99 to leave the same remainder?
1) 21
2)13
3)19
4)23​

Answer 1

Answer:

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Answer 2

Answer:

23

Step-by-step explanation:

the greatest number that divides x, y, z to leave the same remainder.

Number = HCF of x ~ y and y ~ z

the greatest number that divides 30,53,99 to leave the same remainder

HCF of (53-30) and (99-53)

HCF of 23 and 46 is 23

Hence, the the greatest number that divides 30,53,99 to leave the same remainder is 23