Question

Find the greatest number which divides 58 and 124 and leaves the remainder 3.

Please reply as fast as possible.​

Answer 1

Step-by-step explanation:

11 is the answer

we have to take HCF/GCD of 55 and 121.

Answer 2

Answer:

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The largest number which divides 70 and 125, leaving remainders 5 and 8 respectively is :

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Solution

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Correct option is A)

Step -1: Subtracting remainders from the given numbers.

As 70 leaves remainder 5 when divided by the required largest number.

⇒The largest number will completely divide 70−5=65.

And 125 leaves remainder 8 when divided by the required largest number.

⇒The largest number will also completely divide 125−8=117.

Step -2: Finding H.C.F. of 65 and 117.

Factors of 65=5×13

Factors of 117=3×3×13

∴The H.C.F. of 65 and 117 is 13.

Hence, 13 is the required largest number.

Hence, correct option is A.