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  • Find the largest number which on dividing 1251, 9377 and 15628 leave remainders 1, 2 and 3 respectively.       <div style="float:left

Find the largest number which on dividing 1251, 9377 and 15628 leave remainders 1, 2 and 3 respectively.

 

 
 
 
 
 

Answers (1)

1251 - 1 = 1250,    9377 - 2 = 9375,    and 15628 - 3 = 15625

Required largest number  = HCF(1250, 9375, 15625)

    \\1250 = 2\times 5^5\\ 9375 = 3\times 5^4 \\ 15625 = 2\times 5^5

So, HCF(1250, 9375, 15625) = 5^4 = 625

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