Greatest Common Factor of 8130/438, 7100/5344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8130/438, 7100/5344

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 8130/438,7100/5344

Given fractions are 8130/438,7100/5344

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 8130,7100

Greatest Common Factor of Numerators i.e. GCF of 8130,7100 is 10 .

LCM of Denominators means LCM of 438,5344 as per the given fractions.

LCM of 438,5344 is 1170336 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8130,7100

GCF of Fractions 8130/438,7100/5344 is 10/1170336

2 8130, 7100
5 4065, 3550
813, 710

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 8130,7100 By Matching Biggest Common Factor Method

Greatest Common Factor of 8130,7100 By Matching Biggest Common Factor Method

Factors of 8130

List of positive integer factors of 8130 that divides 8130 without a remainder.

1,2,3,5,6,10,15,30,271,542,813,1355,1626,2710,4065,8130

Factors of 7100

List of positive integer factors of 7100 that divides 7100 without a remainder.

1,2,4,5,10,20,25,50,71,100,142,284,355,710,1420,1775,3550,7100

Greatest Common Factor

We found the factors 8130,7100 . The biggest common factor number is the GCF number.
So the greatest common factor 8130,7100 is 10.

Lets's calculate LCM of 438,5344

2 438, 5344
219, 2672

∴ So the LCM of the given numbers is 2 x 219 x 2672 = 1170336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1170336

Therefore, the GCF of Fractions 8130/438,7100/5344 is 10/1170336

Least Common Multiple of 438,5344 with GCF Formula

Least Common Multiple of 438,5344 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 438,5344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,5344) = 2

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

GCF(438,5344) x common factors =2 x 1 = 2

LCM(438,5344) = ( 438 × 5344 ) / 2

LCM(438,5344) = 2340672 / 2

LCM(438,5344) = 1170336


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 8130/438, 7100/5344

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 8130/438, 7100/5344?

Answer: GCF of Numerators as per given numbers 8130/438, 7100/5344 is

GCF of Numerators i.e. for 8130,7100 is 10

LCM of denominators i.e. for 438,5344 is 1170336.

Thus, GCF of Fractions is 10/1170336.Finally, GCF of Fractions for 8130/438, 7100/5344 is 10/1170336.