Question

What is the largest number that divides 245 and 1029, leaving remainder 5 in each?
a) 15
b) 16
c) 9
d) 5
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Answer 1

Answer:

b)16

this is your answer.

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Answer 2

Answer:

It is given that required number which divides 245 and 1029, the remainder is 5 in each case. ⇒ 245 - 5 = 240 and 1029 - 5 = 1024 are completely divisible by the required number. Since, it is given that the required number is the largest number. Therefore, it is the HCF of 240 and 1024.

the largest number that divides 245 and 1029 is 16