Question

Find the largest number which divides 1230
and 1926 leaving remainder 12 in each ease.​

Answer 1

Answer:MysticdMaths AryaBhatta

Solution:

The largest number when divides 1230 and 1926 leaving

remainder 12 ,

that number divides 1230-12

= 1218

and

1926 -12 = 1914 without leaving any remainder .

The largest number is the G.C.D

of 1218 and 1914

Now ,

Finding prime factors:

1218 = 2×3×29×7

1914 = 2×3×29×11

HCF of 1218 and 1914

= 2×3×29

= 174

Therefore,

Largest number which divides 1230 and 1926 leaving remainder 12 in each case is 174.

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Step-by-step explanation: