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GCF of two numbers is 3 and their LCM is 180. If one of the numbers is 45, find the other number

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The other number is 12
because the GCF of 12 and 45 is...
12 - 3x2x2
45 - 3x3x5
....3
and their LCM is....
12
12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180
45
45, 90, 135, 180
.....180