Greatest Common Factor of 2913/342, 3662/518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2913/342, 3662/518

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 2913/342,3662/518

Given fractions are 2913/342,3662/518

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 2913,3662

Greatest Common Factor of Numerators i.e. GCF of 2913,3662 is 1 .

LCM of Denominators means LCM of 342,518 as per the given fractions.

LCM of 342,518 is 88578 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2913,3662

GCF of Fractions 2913/342,3662/518 is 1/88578

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

Greatest Common Factor of 2913,3662 By Matching Biggest Common Factor Method

Greatest Common Factor of 2913,3662 By Matching Biggest Common Factor Method

Factors of 2913

List of positive integer factors of 2913 that divides 2913 without a remainder.

1,3,971,2913

Factors of 3662

List of positive integer factors of 3662 that divides 3662 without a remainder.

1,2,1831,3662

Greatest Common Factor

We found the factors 2913,3662 . The biggest common factor number is the GCF number.
So the greatest common factor 2913,3662 is 1.

Lets's calculate LCM of 342,518

2 342, 518
171, 259

∴ So the LCM of the given numbers is 2 x 171 x 259 = 88578

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/88578

Therefore, the GCF of Fractions 2913/342,3662/518 is 1/88578

Least Common Multiple of 342,518 with GCF Formula

Least Common Multiple of 342,518 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 342,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,518) = 2

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

GCF(342,518) x common factors =2 x 1 = 2

LCM(342,518) = ( 342 × 518 ) / 2

LCM(342,518) = 177156 / 2

LCM(342,518) = 88578


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 2913/342, 3662/518

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 2913/342, 3662/518?

Answer: GCF of Numerators as per given numbers 2913/342, 3662/518 is

GCF of Numerators i.e. for 2913,3662 is 1

LCM of denominators i.e. for 342,518 is 88578.

Thus, GCF of Fractions is 1/88578.Finally, GCF of Fractions for 2913/342, 3662/518 is 1/88578.