Greatest Common Factor of 9139/438, 6897/979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9139/438, 6897/979

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 9139/438,6897/979

Given fractions are 9139/438,6897/979

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 9139,6897

Greatest Common Factor of Numerators i.e. GCF of 9139,6897 is 19 .

LCM of Denominators means LCM of 438,979 as per the given fractions.

LCM of 438,979 is 428802 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9139,6897

GCF of Fractions 9139/438,6897/979 is 19/428802

19 9139, 6897
481, 363

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 9139,6897 By Matching Biggest Common Factor Method

Greatest Common Factor of 9139,6897 By Matching Biggest Common Factor Method

Factors of 9139

List of positive integer factors of 9139 that divides 9139 without a remainder.

1,13,19,37,247,481,703,9139

Factors of 6897

List of positive integer factors of 6897 that divides 6897 without a remainder.

1,3,11,19,33,57,121,209,363,627,2299,6897

Greatest Common Factor

We found the factors 9139,6897 . The biggest common factor number is the GCF number.
So the greatest common factor 9139,6897 is 19.

Lets's calculate LCM of 438,979

Given numbers has no common factors except 1. So, there LCM is their product i.e 428802

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/428802

Therefore, the GCF of Fractions 9139/438,6897/979 is 19/428802

Least Common Multiple of 438,979 with GCF Formula

Least Common Multiple of 438,979 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 438,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,979) = 1

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

GCF(438,979) x common factors =1 x 1 = 1

LCM(438,979) = ( 438 × 979 ) / 1

LCM(438,979) = 428802 / 1

LCM(438,979) = 428802


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 9139/438, 6897/979

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 9139/438, 6897/979?

Answer: GCF of Numerators as per given numbers 9139/438, 6897/979 is

GCF of Numerators i.e. for 9139,6897 is 19

LCM of denominators i.e. for 438,979 is 428802.

Thus, GCF of Fractions is 19/428802.Finally, GCF of Fractions for 9139/438, 6897/979 is 19/428802.