Greatest Common Factor of 5453/142, 8936/7786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5453/142, 8936/7786

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 5453/142,8936/7786

Given fractions are 5453/142,8936/7786

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 5453,8936

Greatest Common Factor of Numerators i.e. GCF of 5453,8936 is 1 .

LCM of Denominators means LCM of 142,7786 as per the given fractions.

LCM of 142,7786 is 552806 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5453,8936

GCF of Fractions 5453/142,8936/7786 is 1/552806

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

Greatest Common Factor of 5453,8936 By Matching Biggest Common Factor Method

Greatest Common Factor of 5453,8936 By Matching Biggest Common Factor Method

Factors of 5453

List of positive integer factors of 5453 that divides 5453 without a remainder.

1,7,19,41,133,287,779,5453

Factors of 8936

List of positive integer factors of 8936 that divides 8936 without a remainder.

1,2,4,8,1117,2234,4468,8936

Greatest Common Factor

We found the factors 5453,8936 . The biggest common factor number is the GCF number.
So the greatest common factor 5453,8936 is 1.

Lets's calculate LCM of 142,7786

2 142, 7786
71, 3893

∴ So the LCM of the given numbers is 2 x 71 x 3893 = 552806

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/552806

Therefore, the GCF of Fractions 5453/142,8936/7786 is 1/552806

Least Common Multiple of 142,7786 with GCF Formula

Least Common Multiple of 142,7786 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 142,7786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,7786) = 2

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

GCF(142,7786) x common factors =2 x 1 = 2

LCM(142,7786) = ( 142 × 7786 ) / 2

LCM(142,7786) = 1105612 / 2

LCM(142,7786) = 552806


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 5453/142, 8936/7786

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 5453/142, 8936/7786?

Answer: GCF of Numerators as per given numbers 5453/142, 8936/7786 is

GCF of Numerators i.e. for 5453,8936 is 1

LCM of denominators i.e. for 142,7786 is 552806.

Thus, GCF of Fractions is 1/552806.Finally, GCF of Fractions for 5453/142, 8936/7786 is 1/552806.