Question

Find the largest number which divides 626,3127 and 15628 leaving remainders of 1,2 and 3 respectively

Answer 1

First step is to subtract the remainders from given numbers.
First number =626-1
=625
Second number=3127-2
=3125
Third number =15628-3
=15625
Now find the hcf of the final numbers.
HCF(625, 3125, 15625)=625
The largest number that divides the numbers 626, 3127, 15628 is 625
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