Question

find the largest number which divides 1230 and 1926 leaving remainder 12 in each case​

Answer 1

Answer:

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

GCD of 1218 and 1914

= 2×3×29

= 174

Therefore,

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

Hope my answer helps you mate

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Answer 2

Answer:

174 is right answer..

Step-by-step explanation:

1230-12=1218

1926-12=1914

Finding prime factors:

1218=2×3×29×7

1914 = 2×3×29×11

common = 2×3×29=174

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

thank you..