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The GCD of two numbers is 4 and their LC...

The GCD of two numbers is 4 and their LCM is 400. How many pairs of values can the numbers assume?

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
B
If the GCD of two numbers is 4, then the numbers are in the form of `4x` and `4y` (where x and y are co-primes).
`4xxx4y =4xx400`
`xy=(400)/(4)=100`
`xy=25xx4 or 100 xx 1 `
`therefore` Two pairs are possible .
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