Question

A pair of numbers has the properties that their greatest
common factor is 6 and their least common multiple is 60.
What are the possible pairs?

Answer 1

Answer:

hai two pairs   6 and 60      also 12 and 30

Step-by-step explanation:

given  their greatest    common factor is 6

let the numbers be 6x and 6y   where x and y have gcd 1

their least common multiple is 6xy =60

        xy = 10

take x = 1 and y =10   or   x=2 and y = 5

if  take x = 1 and y =10  the numbers are    6 and 60

if  take x = 2 and y =5   the numbers are    12 and  30