Question

Find the largest number which divide 245 and 2029 leaving remainder 5 in each are

Answer 1

Answer:

First subtract 5 from 245 and 1029 to get

245 - 5 = 240.

1029 - 5 = 1024,

Next find the HCF of 240 and 1024. To do that find the prime factors of the two numbers:

240 = 2x2x2x2x3x5 = 2^4x3x5

1024 = 2x2x2x2x2x2x2x2x2x2 = 2^10

Thus the HCF = 2^4 = 16. So the answer is 16.

Answer 2

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