Question

Greatest Common Divisor of two numbers is 4 while their Least

Common Multiple is 24. Find the other number if one number is 6​

Answer 1

Answer:

GCD Cannot be 4 if one number is 6.

So I assume one number is 8

Step-by-step explanation:

1. GCF :

Find the prime factorization of 8

8 = 2 × 2 × 2

Find the prime factorization of 12

12 = 2 × 2 × 3

To find the gcf, multiply all the prime factors common to both numbers:

Therefore, GCF = 2 × 2

GCF = 4

2. LCM :

GCF(8,12) = 4

LCM(8,12) = ( 8 × 12) / 4

LCM(8,12) = 96 / 4

LCM(8,12) = 24

so 8 and 12 are the numbers.