Greatest Common Factor of 3158/716, 3158/4494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3158/716, 3158/4494

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 3158/716,3158/4494

Given fractions are 3158/716,3158/4494

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 3158,3158

Greatest Common Factor of Numerators i.e. GCF of 3158,3158 is 3158 .

LCM of Denominators means LCM of 716,4494 as per the given fractions.

LCM of 716,4494 is 1608852 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3158,3158

GCF of Fractions 3158/716,3158/4494 is 3158/1608852

2 3158, 3158
1579 1579, 1579
1, 1

∴ So the GCF of the given numbers is 2 x 1579 = 3158

Greatest Common Factor of 3158,3158 By Matching Biggest Common Factor Method

Greatest Common Factor of 3158,3158 By Matching Biggest Common Factor Method

Factors of 3158

List of positive integer factors of 3158 that divides 3158 without a remainder.

1,2,1579,3158

Factors of 3158

List of positive integer factors of 3158 that divides 3158 without a remainder.

1,2,1579,3158

Greatest Common Factor

We found the factors 3158,3158 . The biggest common factor number is the GCF number.
So the greatest common factor 3158,3158 is 3158.

Lets's calculate LCM of 716,4494

2 716, 4494
358, 2247

∴ So the LCM of the given numbers is 2 x 358 x 2247 = 1608852

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3158/1608852

Therefore, the GCF of Fractions 3158/716,3158/4494 is 3158/1608852

Least Common Multiple of 716,4494 with GCF Formula

Least Common Multiple of 716,4494 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 716,4494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(716,4494) = 2

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

GCF(716,4494) x common factors =2 x 1 = 2

LCM(716,4494) = ( 716 × 4494 ) / 2

LCM(716,4494) = 3217704 / 2

LCM(716,4494) = 1608852


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 3158/716, 3158/4494

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 3158/716, 3158/4494?

Answer: GCF of Numerators as per given numbers 3158/716, 3158/4494 is

GCF of Numerators i.e. for 3158,3158 is 3158

LCM of denominators i.e. for 716,4494 is 1608852.

Thus, GCF of Fractions is 3158/1608852.Finally, GCF of Fractions for 3158/716, 3158/4494 is 3158/1608852.