Greatest Common Factor of 5424/858, 7767/4246

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5424/858, 7767/4246

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 5424/858,7767/4246

Given fractions are 5424/858,7767/4246

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 5424,7767

Greatest Common Factor of Numerators i.e. GCF of 5424,7767 is 3 .

LCM of Denominators means LCM of 858,4246 as per the given fractions.

LCM of 858,4246 is 165594 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5424,7767

GCF of Fractions 5424/858,7767/4246 is 3/165594

3 5424, 7767
1808, 2589

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

Greatest Common Factor of 5424,7767 By Matching Biggest Common Factor Method

Greatest Common Factor of 5424,7767 By Matching Biggest Common Factor Method

Factors of 5424

List of positive integer factors of 5424 that divides 5424 without a remainder.

1,2,3,4,6,8,12,16,24,48,113,226,339,452,678,904,1356,1808,2712,5424

Factors of 7767

List of positive integer factors of 7767 that divides 7767 without a remainder.

1,3,9,863,2589,7767

Greatest Common Factor

We found the factors 5424,7767 . The biggest common factor number is the GCF number.
So the greatest common factor 5424,7767 is 3.

Lets's calculate LCM of 858,4246

2 858, 4246
11 429, 2123
39, 193

∴ So the LCM of the given numbers is 2 x 11 x 39 x 193 = 165594

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/165594

Therefore, the GCF of Fractions 5424/858,7767/4246 is 3/165594

Least Common Multiple of 858,4246 with GCF Formula

Least Common Multiple of 858,4246 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 858,4246 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(858,4246) = 22

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

GCF(858,4246) x common factors =22 x 1 = 22

LCM(858,4246) = ( 858 × 4246 ) / 22

LCM(858,4246) = 3643068 / 22

LCM(858,4246) = 165594


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 5424/858, 7767/4246

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 5424/858, 7767/4246?

Answer: GCF of Numerators as per given numbers 5424/858, 7767/4246 is

GCF of Numerators i.e. for 5424,7767 is 3

LCM of denominators i.e. for 858,4246 is 165594.

Thus, GCF of Fractions is 3/165594.Finally, GCF of Fractions for 5424/858, 7767/4246 is 3/165594.