Greatest Common Factor of 3718/91, 4731/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3718/91, 4731/994

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 3718/91,4731/994

Given fractions are 3718/91,4731/994

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 3718,4731

Greatest Common Factor of Numerators i.e. GCF of 3718,4731 is 1 .

LCM of Denominators means LCM of 91,994 as per the given fractions.

LCM of 91,994 is 12922 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3718,4731

GCF of Fractions 3718/91,4731/994 is 1/12922

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

Greatest Common Factor of 3718,4731 By Matching Biggest Common Factor Method

Greatest Common Factor of 3718,4731 By Matching Biggest Common Factor Method

Factors of 3718

List of positive integer factors of 3718 that divides 3718 without a remainder.

1,2,11,13,22,26,143,169,286,338,1859,3718

Factors of 4731

List of positive integer factors of 4731 that divides 4731 without a remainder.

1,3,19,57,83,249,1577,4731

Greatest Common Factor

We found the factors 3718,4731 . The biggest common factor number is the GCF number.
So the greatest common factor 3718,4731 is 1.

Lets's calculate LCM of 91,994

7 91, 994
13, 142

∴ So the LCM of the given numbers is 7 x 13 x 142 = 12922

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12922

Therefore, the GCF of Fractions 3718/91,4731/994 is 1/12922

Least Common Multiple of 91,994 with GCF Formula

Least Common Multiple of 91,994 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 91,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,994) = 7

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

GCF(91,994) x common factors =7 x 1 = 7

LCM(91,994) = ( 91 × 994 ) / 7

LCM(91,994) = 90454 / 7

LCM(91,994) = 12922


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 3718/91, 4731/994

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 3718/91, 4731/994?

Answer: GCF of Numerators as per given numbers 3718/91, 4731/994 is

GCF of Numerators i.e. for 3718,4731 is 1

LCM of denominators i.e. for 91,994 is 12922.

Thus, GCF of Fractions is 1/12922.Finally, GCF of Fractions for 3718/91, 4731/994 is 1/12922.