Greatest Common Factor of 7179/13, 2934/890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7179/13, 2934/890

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 7179/13,2934/890

Given fractions are 7179/13,2934/890

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 7179,2934

Greatest Common Factor of Numerators i.e. GCF of 7179,2934 is 3 .

LCM of Denominators means LCM of 13,890 as per the given fractions.

LCM of 13,890 is 11570 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7179,2934

GCF of Fractions 7179/13,2934/890 is 3/11570

3 7179, 2934
2393, 978

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

Greatest Common Factor of 7179,2934 By Matching Biggest Common Factor Method

Greatest Common Factor of 7179,2934 By Matching Biggest Common Factor Method

Factors of 7179

List of positive integer factors of 7179 that divides 7179 without a remainder.

1,3,2393,7179

Factors of 2934

List of positive integer factors of 2934 that divides 2934 without a remainder.

1,2,3,6,9,18,163,326,489,978,1467,2934

Greatest Common Factor

We found the factors 7179,2934 . The biggest common factor number is the GCF number.
So the greatest common factor 7179,2934 is 3.

Lets's calculate LCM of 13,890

Given numbers has no common factors except 1. So, there LCM is their product i.e 11570

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/11570

Therefore, the GCF of Fractions 7179/13,2934/890 is 3/11570

Least Common Multiple of 13,890 with GCF Formula

Least Common Multiple of 13,890 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 13,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,890) = 1

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

GCF(13,890) x common factors =1 x 1 = 1

LCM(13,890) = ( 13 × 890 ) / 1

LCM(13,890) = 11570 / 1

LCM(13,890) = 11570


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 7179/13, 2934/890

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 7179/13, 2934/890?

Answer: GCF of Numerators as per given numbers 7179/13, 2934/890 is

GCF of Numerators i.e. for 7179,2934 is 3

LCM of denominators i.e. for 13,890 is 11570.

Thus, GCF of Fractions is 3/11570.Finally, GCF of Fractions for 7179/13, 2934/890 is 3/11570.