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Irina-Kira [14]
3 years ago
14

When the greatest common divisor and least common multiple of two integers are multiplied, their product is 200. How many differ

ent values could be the greatest common divisor of the two integers
Mathematics
1 answer:
Marrrta [24]3 years ago
4 0

Answer:

k = 1 or 2 or 5 or 10

Step-by-step explanation:

Suppose GCD is k, 2 numbers are kA and kB

LCM is k*A*B,

GCD*LCM: k*(k*A*B) = 200

k² * A*B = 200

A*B could be 1 , 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

k² (k is integer) could be 1, 4, 25, 100

k = 1 or 2 or 5 or 10

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