Greatest Common Factor of 6104/519, 5232/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6104/519, 5232/742

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 6104/519,5232/742

Given fractions are 6104/519,5232/742

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 6104,5232

Greatest Common Factor of Numerators i.e. GCF of 6104,5232 is 872 .

LCM of Denominators means LCM of 519,742 as per the given fractions.

LCM of 519,742 is 385098 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6104,5232

GCF of Fractions 6104/519,5232/742 is 872/385098

2 6104, 5232
2 3052, 2616
2 1526, 1308
109 763, 654
7, 6

∴ So the GCF of the given numbers is 2 x 2 x 2 x 109 = 872

Greatest Common Factor of 6104,5232 By Matching Biggest Common Factor Method

Greatest Common Factor of 6104,5232 By Matching Biggest Common Factor Method

Factors of 6104

List of positive integer factors of 6104 that divides 6104 without a remainder.

1,2,4,7,8,14,28,56,109,218,436,763,872,1526,3052,6104

Factors of 5232

List of positive integer factors of 5232 that divides 5232 without a remainder.

1,2,3,4,6,8,12,16,24,48,109,218,327,436,654,872,1308,1744,2616,5232

Greatest Common Factor

We found the factors 6104,5232 . The biggest common factor number is the GCF number.
So the greatest common factor 6104,5232 is 872.

Lets's calculate LCM of 519,742

Given numbers has no common factors except 1. So, there LCM is their product i.e 385098

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 872/385098

Therefore, the GCF of Fractions 6104/519,5232/742 is 872/385098

Least Common Multiple of 519,742 with GCF Formula

Least Common Multiple of 519,742 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 519,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(519,742) = 1

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

GCF(519,742) x common factors =1 x 1 = 1

LCM(519,742) = ( 519 × 742 ) / 1

LCM(519,742) = 385098 / 1

LCM(519,742) = 385098


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 6104/519, 5232/742

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 6104/519, 5232/742?

Answer: GCF of Numerators as per given numbers 6104/519, 5232/742 is

GCF of Numerators i.e. for 6104,5232 is 872

LCM of denominators i.e. for 519,742 is 385098.

Thus, GCF of Fractions is 872/385098.Finally, GCF of Fractions for 6104/519, 5232/742 is 872/385098.