Question

find the greatest number that divides 247 and 1031 leavinh a remainder 7 in each case ​

Answer 1

Answer:

The largest number which divides 247 and 1031  leaving a reminder of 7 in each case is 16.

Step-by-step explanation:

247 - 7 = 240  = 2 x 2 x 2 x 2 x 3 x 5 = 2^4 x 3 x 5

1031 - 7 =  1024 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 2^10

HCF ( 240, 1024) = 2^4 = 16

∴  The largest number which divides 247 and 1031  leaving a reminder of 7 in each case is 16.

Answer 2

Answer:

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