Greatest Common Factor of 719/186, 5731/118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 719/186, 5731/118

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 719/186,5731/118

Given fractions are 719/186,5731/118

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 719,5731

Greatest Common Factor of Numerators i.e. GCF of 719,5731 is 1 .

LCM of Denominators means LCM of 186,118 as per the given fractions.

LCM of 186,118 is 10974 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 719,5731

GCF of Fractions 719/186,5731/118 is 1/10974

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

Greatest Common Factor of 719,5731 By Matching Biggest Common Factor Method

Greatest Common Factor of 719,5731 By Matching Biggest Common Factor Method

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Factors of 5731

List of positive integer factors of 5731 that divides 5731 without a remainder.

1,11,521,5731

Greatest Common Factor

We found the factors 719,5731 . The biggest common factor number is the GCF number.
So the greatest common factor 719,5731 is 1.

Lets's calculate LCM of 186,118

2 186, 118
93, 59

∴ So the LCM of the given numbers is 2 x 93 x 59 = 10974

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10974

Therefore, the GCF of Fractions 719/186,5731/118 is 1/10974

Least Common Multiple of 186,118 with GCF Formula

Least Common Multiple of 186,118 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 186,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(186,118) = 2

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

GCF(186,118) x common factors =2 x 1 = 2

LCM(186,118) = ( 186 × 118 ) / 2

LCM(186,118) = 21948 / 2

LCM(186,118) = 10974


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 719/186, 5731/118

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 719/186, 5731/118?

Answer: GCF of Numerators as per given numbers 719/186, 5731/118 is

GCF of Numerators i.e. for 719,5731 is 1

LCM of denominators i.e. for 186,118 is 10974.

Thus, GCF of Fractions is 1/10974.Finally, GCF of Fractions for 719/186, 5731/118 is 1/10974.