Greatest Common Factor of 8438/522, 5180/5124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8438/522, 5180/5124

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 8438/522,5180/5124

Given fractions are 8438/522,5180/5124

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 8438,5180

Greatest Common Factor of Numerators i.e. GCF of 8438,5180 is 2 .

LCM of Denominators means LCM of 522,5124 as per the given fractions.

LCM of 522,5124 is 445788 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8438,5180

GCF of Fractions 8438/522,5180/5124 is 2/445788

2 8438, 5180
4219, 2590

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8438,5180 By Matching Biggest Common Factor Method

Greatest Common Factor of 8438,5180 By Matching Biggest Common Factor Method

Factors of 8438

List of positive integer factors of 8438 that divides 8438 without a remainder.

1,2,4219,8438

Factors of 5180

List of positive integer factors of 5180 that divides 5180 without a remainder.

1,2,4,5,7,10,14,20,28,35,37,70,74,140,148,185,259,370,518,740,1036,1295,2590,5180

Greatest Common Factor

We found the factors 8438,5180 . The biggest common factor number is the GCF number.
So the greatest common factor 8438,5180 is 2.

Lets's calculate LCM of 522,5124

2 522, 5124
3 261, 2562
87, 854

∴ So the LCM of the given numbers is 2 x 3 x 87 x 854 = 445788

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/445788

Therefore, the GCF of Fractions 8438/522,5180/5124 is 2/445788

Least Common Multiple of 522,5124 with GCF Formula

Least Common Multiple of 522,5124 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 522,5124 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(522,5124) = 6

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

GCF(522,5124) x common factors =6 x 1 = 6

LCM(522,5124) = ( 522 × 5124 ) / 6

LCM(522,5124) = 2674728 / 6

LCM(522,5124) = 445788


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 8438/522, 5180/5124

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 8438/522, 5180/5124?

Answer: GCF of Numerators as per given numbers 8438/522, 5180/5124 is

GCF of Numerators i.e. for 8438,5180 is 2

LCM of denominators i.e. for 522,5124 is 445788.

Thus, GCF of Fractions is 2/445788.Finally, GCF of Fractions for 8438/522, 5180/5124 is 2/445788.