The gcd of two numbers is 7 and their lcm is 140. If one of the numbers is 20 find the other number

Question

Mathematics

Jamison Gonzalez

16 October, 23:33

The gcd of two numbers is 7 and their lcm is 140. If one of the numbers is 20 find the other number

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Answers (2)

Know the Answer?

Danielle Wiggins · Answer 1

49

Step-by-step explanation:

Product of GCD and LCM = Product of the 2 numbers

Product of GCD and LCM = 7 * 140 = 980

One number is 20 so let the other number be N

20*N=7*140

20N=980

2N=98

N=49

so the other number is 49

Raegan Mason · Answer 2

49

Step-by-step explanation:

hello:

let : gcd = D and lcm = M two numbers are : a, b

D*M = a * b

in this exercice : D=7 M=140 b=20 calculate the other number : a

7*140 = a * 20

so : a = 7*140/20 = 49