Greatest Common Factor of 7132/989, 6024/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7132/989, 6024/123

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 7132/989,6024/123

Given fractions are 7132/989,6024/123

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 7132,6024

Greatest Common Factor of Numerators i.e. GCF of 7132,6024 is 4 .

LCM of Denominators means LCM of 989,123 as per the given fractions.

LCM of 989,123 is 121647 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7132,6024

GCF of Fractions 7132/989,6024/123 is 4/121647

2 7132, 6024
2 3566, 3012
1783, 1506

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 7132,6024 By Matching Biggest Common Factor Method

Greatest Common Factor of 7132,6024 By Matching Biggest Common Factor Method

Factors of 7132

List of positive integer factors of 7132 that divides 7132 without a remainder.

1,2,4,1783,3566,7132

Factors of 6024

List of positive integer factors of 6024 that divides 6024 without a remainder.

1,2,3,4,6,8,12,24,251,502,753,1004,1506,2008,3012,6024

Greatest Common Factor

We found the factors 7132,6024 . The biggest common factor number is the GCF number.
So the greatest common factor 7132,6024 is 4.

Lets's calculate LCM of 989,123

Given numbers has no common factors except 1. So, there LCM is their product i.e 121647

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/121647

Therefore, the GCF of Fractions 7132/989,6024/123 is 4/121647

Least Common Multiple of 989,123 with GCF Formula

Least Common Multiple of 989,123 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 989,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(989,123) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(989,123) x common factors =1 x 1 = 1

LCM(989,123) = ( 989 × 123 ) / 1

LCM(989,123) = 121647 / 1

LCM(989,123) = 121647


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 7132/989, 6024/123

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 7132/989, 6024/123?

Answer: GCF of Numerators as per given numbers 7132/989, 6024/123 is

GCF of Numerators i.e. for 7132,6024 is 4

LCM of denominators i.e. for 989,123 is 121647.

Thus, GCF of Fractions is 4/121647.Finally, GCF of Fractions for 7132/989, 6024/123 is 4/121647.