Question

The quotient of the exact division between two numbers a and b is equal to the gcf(a,b).
If the sum of the gcf(a,b) and the lcm(a,b) is equal to 56, find ab.

Answer 1

413:
This was admittedly sort of guess and check, but I figured if a/b is the gcf(a,b) a is probably the square root of b. The lcm would then be b. Plugging in for a = 7, you get the GCF to be 7 and the lcm to be 49. 49+7 = 56.
A = 49, B = 7
A*B = 413

Answer 2

Yes!49 and 7 are correct!,
By the way 49*7=343.

Thanks!.

Answer 3

I have no idea how I got 413. Silly calculators.