Find all positive integers a and b such that 2m+3d=78, when d is the greatest common divisor of a and b, and m is the least common multiple of a and b

Answer 1

2m+3d = 78

13 integer possibilities are

m d

1 26

3 24

6 22

9 20

12 18

15 16

18 14

21 12

24 10

27 8

30 6

33 4

36 2

d = Greatest CD, m = Least CM

start with the largest d

and smallest m

see what works