Greatest Common Factor of 5433/738, 8146/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5433/738, 8146/344

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 5433/738,8146/344

Given fractions are 5433/738,8146/344

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 5433,8146

Greatest Common Factor of Numerators i.e. GCF of 5433,8146 is 1 .

LCM of Denominators means LCM of 738,344 as per the given fractions.

LCM of 738,344 is 126936 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5433,8146

GCF of Fractions 5433/738,8146/344 is 1/126936

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

Greatest Common Factor of 5433,8146 By Matching Biggest Common Factor Method

Greatest Common Factor of 5433,8146 By Matching Biggest Common Factor Method

Factors of 5433

List of positive integer factors of 5433 that divides 5433 without a remainder.

1,3,1811,5433

Factors of 8146

List of positive integer factors of 8146 that divides 8146 without a remainder.

1,2,4073,8146

Greatest Common Factor

We found the factors 5433,8146 . The biggest common factor number is the GCF number.
So the greatest common factor 5433,8146 is 1.

Lets's calculate LCM of 738,344

2 738, 344
369, 172

∴ So the LCM of the given numbers is 2 x 369 x 172 = 126936

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126936

Therefore, the GCF of Fractions 5433/738,8146/344 is 1/126936

Least Common Multiple of 738,344 with GCF Formula

Least Common Multiple of 738,344 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 738,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,344) = 2

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

GCF(738,344) x common factors =2 x 1 = 2

LCM(738,344) = ( 738 × 344 ) / 2

LCM(738,344) = 253872 / 2

LCM(738,344) = 126936


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 5433/738, 8146/344

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 5433/738, 8146/344?

Answer: GCF of Numerators as per given numbers 5433/738, 8146/344 is

GCF of Numerators i.e. for 5433,8146 is 1

LCM of denominators i.e. for 738,344 is 126936.

Thus, GCF of Fractions is 1/126936.Finally, GCF of Fractions for 5433/738, 8146/344 is 1/126936.