what is the greatest number that can divide 781 and 458 leaving remainder of 1 and 3,respectively?
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Let the no . be x
The remainder when divided by 781 = 1
it means the number is perfectly divided by (781-1)= 780
remainder when divided by 458
= 3
it means that the no is perfectly divided by (458-3) =455
by finding HCF of both the no.s 780 and 455
780= 2×2×5×3×13
455= 5×7×13
HCF = 5×13 =65
x= 65
The remainder when divided by 781 = 1
it means the number is perfectly divided by (781-1)= 780
remainder when divided by 458
= 3
it means that the no is perfectly divided by (458-3) =455
by finding HCF of both the no.s 780 and 455
780= 2×2×5×3×13
455= 5×7×13
HCF = 5×13 =65
x= 65
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