Greatest Common Factor of 713/288, 5642/191

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 713/288, 5642/191

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 713/288,5642/191

Given fractions are 713/288,5642/191

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 713,5642

Greatest Common Factor of Numerators i.e. GCF of 713,5642 is 31 .

LCM of Denominators means LCM of 288,191 as per the given fractions.

LCM of 288,191 is 55008 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 713,5642

GCF of Fractions 713/288,5642/191 is 31/55008

31 713, 5642
23, 182

∴ So the GCF of the given numbers is 31 = 31

Greatest Common Factor of 713,5642 By Matching Biggest Common Factor Method

Greatest Common Factor of 713,5642 By Matching Biggest Common Factor Method

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Factors of 5642

List of positive integer factors of 5642 that divides 5642 without a remainder.

1,2,7,13,14,26,31,62,91,182,217,403,434,806,2821,5642

Greatest Common Factor

We found the factors 713,5642 . The biggest common factor number is the GCF number.
So the greatest common factor 713,5642 is 31.

Lets's calculate LCM of 288,191

Given numbers has no common factors except 1. So, there LCM is their product i.e 55008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/55008

Therefore, the GCF of Fractions 713/288,5642/191 is 31/55008

Least Common Multiple of 288,191 with GCF Formula

Least Common Multiple of 288,191 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 288,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,191) = 1

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

GCF(288,191) x common factors =1 x 1 = 1

LCM(288,191) = ( 288 × 191 ) / 1

LCM(288,191) = 55008 / 1

LCM(288,191) = 55008


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 713/288, 5642/191

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 713/288, 5642/191?

Answer: GCF of Numerators as per given numbers 713/288, 5642/191 is

GCF of Numerators i.e. for 713,5642 is 31

LCM of denominators i.e. for 288,191 is 55008.

Thus, GCF of Fractions is 31/55008.Finally, GCF of Fractions for 713/288, 5642/191 is 31/55008.