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When the greatest common divisor and least common multiple of two integers are multiplied, the product is 180.  How many different values could be the sum of the two integers?

 Dec 9, 2020
 #1
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  a       b

180     1
90     2
60     3
45     4
36     5
30     6
20     9
18     10
15     12
12     15
10     18
9     20
6     30
5     36
4     45
3     60
2     90
1     180

 

Just count them and sum them up, if that is what they want!

 Dec 9, 2020

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