Greatest Common Factor of 5405/120, 5843/7134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5405/120, 5843/7134

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 5405/120,5843/7134

Given fractions are 5405/120,5843/7134

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 5405,5843

Greatest Common Factor of Numerators i.e. GCF of 5405,5843 is 1 .

LCM of Denominators means LCM of 120,7134 as per the given fractions.

LCM of 120,7134 is 142680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5405,5843

GCF of Fractions 5405/120,5843/7134 is 1/142680

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

Greatest Common Factor of 5405,5843 By Matching Biggest Common Factor Method

Greatest Common Factor of 5405,5843 By Matching Biggest Common Factor Method

Factors of 5405

List of positive integer factors of 5405 that divides 5405 without a remainder.

1,5,23,47,115,235,1081,5405

Factors of 5843

List of positive integer factors of 5843 that divides 5843 without a remainder.

1,5843

Greatest Common Factor

We found the factors 5405,5843 . The biggest common factor number is the GCF number.
So the greatest common factor 5405,5843 is 1.

Lets's calculate LCM of 120,7134

2 120, 7134
3 60, 3567
20, 1189

∴ So the LCM of the given numbers is 2 x 3 x 20 x 1189 = 142680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/142680

Therefore, the GCF of Fractions 5405/120,5843/7134 is 1/142680

Least Common Multiple of 120,7134 with GCF Formula

Least Common Multiple of 120,7134 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 120,7134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,7134) = 6

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

GCF(120,7134) x common factors =6 x 1 = 6

LCM(120,7134) = ( 120 × 7134 ) / 6

LCM(120,7134) = 856080 / 6

LCM(120,7134) = 142680


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 5405/120, 5843/7134

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 5405/120, 5843/7134?

Answer: GCF of Numerators as per given numbers 5405/120, 5843/7134 is

GCF of Numerators i.e. for 5405,5843 is 1

LCM of denominators i.e. for 120,7134 is 142680.

Thus, GCF of Fractions is 1/142680.Finally, GCF of Fractions for 5405/120, 5843/7134 is 1/142680.