Greatest Common Factor of 5853/932, 4498/7242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5853/932, 4498/7242

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 5853/932,4498/7242

Given fractions are 5853/932,4498/7242

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 5853,4498

Greatest Common Factor of Numerators i.e. GCF of 5853,4498 is 1 .

LCM of Denominators means LCM of 932,7242 as per the given fractions.

LCM of 932,7242 is 3374772 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5853,4498

GCF of Fractions 5853/932,4498/7242 is 1/3374772

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

Greatest Common Factor of 5853,4498 By Matching Biggest Common Factor Method

Greatest Common Factor of 5853,4498 By Matching Biggest Common Factor Method

Factors of 5853

List of positive integer factors of 5853 that divides 5853 without a remainder.

1,3,1951,5853

Factors of 4498

List of positive integer factors of 4498 that divides 4498 without a remainder.

1,2,13,26,173,346,2249,4498

Greatest Common Factor

We found the factors 5853,4498 . The biggest common factor number is the GCF number.
So the greatest common factor 5853,4498 is 1.

Lets's calculate LCM of 932,7242

2 932, 7242
466, 3621

∴ So the LCM of the given numbers is 2 x 466 x 3621 = 3374772

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3374772

Therefore, the GCF of Fractions 5853/932,4498/7242 is 1/3374772

Least Common Multiple of 932,7242 with GCF Formula

Least Common Multiple of 932,7242 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 932,7242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(932,7242) = 2

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

GCF(932,7242) x common factors =2 x 1 = 2

LCM(932,7242) = ( 932 × 7242 ) / 2

LCM(932,7242) = 6749544 / 2

LCM(932,7242) = 3374772


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 5853/932, 4498/7242

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 5853/932, 4498/7242?

Answer: GCF of Numerators as per given numbers 5853/932, 4498/7242 is

GCF of Numerators i.e. for 5853,4498 is 1

LCM of denominators i.e. for 932,7242 is 3374772.

Thus, GCF of Fractions is 1/3374772.Finally, GCF of Fractions for 5853/932, 4498/7242 is 1/3374772.