Question

find the greatest number which divides 58 and 124 and leaves the remainder as 3. please answer step by step​

Answer 1

Answer:

The answer is 11

Step-by-step explanation:

mark as brilliant answer

Answer 2

The answer is 11.

GIVEN

Numbers = 58 and 124

TO FIND

Greatest number dividing the given numbers and leaves the remainder as 3.

SOLUTION

The above problem can be simply solved as follows;

Let the greatest number be x

Then, 58-3 = 55 and 124 - 3 = 121, when divided by x will leave remainder 0

Prime factorization of 55 and 121

55 = 11 × 5

121 = 11 × 11

HCF = 11

Hence, The answer is 11.

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