Greatest Common Factor of 5279/109, 6172/5198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5279/109, 6172/5198

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 5279/109,6172/5198

Given fractions are 5279/109,6172/5198

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 5279,6172

Greatest Common Factor of Numerators i.e. GCF of 5279,6172 is 1 .

LCM of Denominators means LCM of 109,5198 as per the given fractions.

LCM of 109,5198 is 566582 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5279,6172

GCF of Fractions 5279/109,6172/5198 is 1/566582

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5279,6172 By Matching Biggest Common Factor Method

Greatest Common Factor of 5279,6172 By Matching Biggest Common Factor Method

Factors of 5279

List of positive integer factors of 5279 that divides 5279 without a remainder.

1,5279

Factors of 6172

List of positive integer factors of 6172 that divides 6172 without a remainder.

1,2,4,1543,3086,6172

Greatest Common Factor

We found the factors 5279,6172 . The biggest common factor number is the GCF number.
So the greatest common factor 5279,6172 is 1.

Lets's calculate LCM of 109,5198

Given numbers has no common factors except 1. So, there LCM is their product i.e 566582

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/566582

Therefore, the GCF of Fractions 5279/109,6172/5198 is 1/566582

Least Common Multiple of 109,5198 with GCF Formula

Least Common Multiple of 109,5198 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 109,5198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(109,5198) = 1

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

GCF(109,5198) x common factors =1 x 1 = 1

LCM(109,5198) = ( 109 × 5198 ) / 1

LCM(109,5198) = 566582 / 1

LCM(109,5198) = 566582


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 5279/109, 6172/5198

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 5279/109, 6172/5198?

Answer: GCF of Numerators as per given numbers 5279/109, 6172/5198 is

GCF of Numerators i.e. for 5279,6172 is 1

LCM of denominators i.e. for 109,5198 is 566582.

Thus, GCF of Fractions is 1/566582.Finally, GCF of Fractions for 5279/109, 6172/5198 is 1/566582.