Question

Find the greatest number by which 2053 and 967 are divided,remainders are 5 and 7 respectively.

Answer 1

Answer:

Step-by-step explanation:

It is given that on dividing 2053 by the required number there is a remainder of 5 .this mean that 2053 - 5 = 2048 is exactly divisible by required number . similarly,

967 - 7 = 960

the required number is the largest number satisfying the above property .

therefore ,it is the HCF of 2048 & 960

HCF of 2048 & 960 is 64 

hence required number is 64

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Answer 2

Take L.C.M. of 2048 and 960. The L.C.M. came is the answer.
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