Greatest Common Factor of 5667/854, 9748/7183

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5667/854, 9748/7183

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 5667/854,9748/7183

Given fractions are 5667/854,9748/7183

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 5667,9748

Greatest Common Factor of Numerators i.e. GCF of 5667,9748 is 1 .

LCM of Denominators means LCM of 854,7183 as per the given fractions.

LCM of 854,7183 is 6134282 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5667,9748

GCF of Fractions 5667/854,9748/7183 is 1/6134282

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

Greatest Common Factor of 5667,9748 By Matching Biggest Common Factor Method

Greatest Common Factor of 5667,9748 By Matching Biggest Common Factor Method

Factors of 5667

List of positive integer factors of 5667 that divides 5667 without a remainder.

1,3,1889,5667

Factors of 9748

List of positive integer factors of 9748 that divides 9748 without a remainder.

1,2,4,2437,4874,9748

Greatest Common Factor

We found the factors 5667,9748 . The biggest common factor number is the GCF number.
So the greatest common factor 5667,9748 is 1.

Lets's calculate LCM of 854,7183

Given numbers has no common factors except 1. So, there LCM is their product i.e 6134282

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6134282

Therefore, the GCF of Fractions 5667/854,9748/7183 is 1/6134282

Least Common Multiple of 854,7183 with GCF Formula

Least Common Multiple of 854,7183 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 854,7183 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(854,7183) = 1

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

GCF(854,7183) x common factors =1 x 1 = 1

LCM(854,7183) = ( 854 × 7183 ) / 1

LCM(854,7183) = 6134282 / 1

LCM(854,7183) = 6134282


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 5667/854, 9748/7183

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 5667/854, 9748/7183?

Answer: GCF of Numerators as per given numbers 5667/854, 9748/7183 is

GCF of Numerators i.e. for 5667,9748 is 1

LCM of denominators i.e. for 854,7183 is 6134282.

Thus, GCF of Fractions is 1/6134282.Finally, GCF of Fractions for 5667/854, 9748/7183 is 1/6134282.