Greatest Common Factor of 7989/130, 1992/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7989/130, 1992/234

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 7989/130,1992/234

Given fractions are 7989/130,1992/234

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 7989,1992

Greatest Common Factor of Numerators i.e. GCF of 7989,1992 is 3 .

LCM of Denominators means LCM of 130,234 as per the given fractions.

LCM of 130,234 is 1170 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7989,1992

GCF of Fractions 7989/130,1992/234 is 3/1170

3 7989, 1992
2663, 664

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7989,1992 By Matching Biggest Common Factor Method

Greatest Common Factor of 7989,1992 By Matching Biggest Common Factor Method

Factors of 7989

List of positive integer factors of 7989 that divides 7989 without a remainder.

1,3,2663,7989

Factors of 1992

List of positive integer factors of 1992 that divides 1992 without a remainder.

1,2,3,4,6,8,12,24,83,166,249,332,498,664,996,1992

Greatest Common Factor

We found the factors 7989,1992 . The biggest common factor number is the GCF number.
So the greatest common factor 7989,1992 is 3.

Lets's calculate LCM of 130,234

2 130, 234
13 65, 117
5, 9

∴ So the LCM of the given numbers is 2 x 13 x 5 x 9 = 1170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1170

Therefore, the GCF of Fractions 7989/130,1992/234 is 3/1170

Least Common Multiple of 130,234 with GCF Formula

Least Common Multiple of 130,234 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 130,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(130,234) = 26

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

GCF(130,234) x common factors =26 x 1 = 26

LCM(130,234) = ( 130 × 234 ) / 26

LCM(130,234) = 30420 / 26

LCM(130,234) = 1170


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 7989/130, 1992/234

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 7989/130, 1992/234?

Answer: GCF of Numerators as per given numbers 7989/130, 1992/234 is

GCF of Numerators i.e. for 7989,1992 is 3

LCM of denominators i.e. for 130,234 is 1170.

Thus, GCF of Fractions is 3/1170.Finally, GCF of Fractions for 7989/130, 1992/234 is 3/1170.