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The square of 28 is divided by the largest number that can exactly divide both 42 and 56. What is the result?
Question

The square of 28 is divided by the largest number that can exactly divide both 42 and 56. What is the result?

A.

28

B.

14

C.

42

D.

56

Correct option is D

Given:
Number to be squared: 28
We need to find the largest number that can exactly divide both 42 and 56.
Formula Used:
To find the largest number that can exactly divide two given numbers, we need to find their greatest common divisor (GCD).
Solution:
Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42
Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56
GCD of 42 and 56 =14.
Result = 28214\frac{28^2}{14}​​

Result = 78414\frac{784}{14}​​
Result = 56

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