Question

Find the largest number that divides 6563 and 9460 leaving remainders 11 and 10 respectively.

Answer 1

Step-by-step explanation:

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Hey there !!

→ Find the greatest number which divides 2011 and 2623 leaving remainders 9 and 5 respectively.

→ Solution :-)

➡Clearly, the required number divides ( 2011 - 9 ) = 2002 and ( 2623 - 5 ) = 2618 exactly.

=> Required number = HCF ( 2002 , 2618 ).

▶Now, 2002 = 2 × 7 × 11 × 13.

And, 2618 = 2 × 7 × 11 × 17.

=> HCF ( 2002 , 2618 ) = Product of common terms .

=> HCF ( 2002 , 2618 ) = 2 × 7 × 11 .

\huge \boxed{ = 154. }

=154.

✔✔Hence, the greatest number is 154. ✅✅

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