Question

Find the largest number which divides 245, 405 and 1029 leaving 5 as
respectively as remainders.
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Answer 1

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.
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Answer 2

Answer:

16

Step-by-step explanation:

subtract 5 from each no. as 5 is left as remainder

240,400,1024

HCF of no.s is 16

therefore 16 is the largest no. which divides the no.s leaving remainder 5

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