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The greatest number which on dividing 50, 58 and 69 leaves remainders of 1, 2 and 6, respectively, is:
Question

The greatest number which on dividing 50, 58 and 69 leaves remainders of 1, 2 and 6, respectively, is:

A.

7

B.

8

C.

0

D.

6

Correct option is A

Given:

Given numbers are 50,58 and 69

Remainder left in each case 1, 2 and 6

Formula Used:

The highest number which divides the numbers is HCF

Solution:

The number to be taken will be (50-1), (58-2) and (69-6)

So, the HCF of 49,56 and 63 will be

49 = 727^2​​

56= 23×72^3 \times 7​​

63 =33×73^3 \times 7​​

HCF = 7

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