Greatest Common Factor of 2929/513, 3541/366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2929/513, 3541/366

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 2929/513,3541/366

Given fractions are 2929/513,3541/366

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 2929,3541

Greatest Common Factor of Numerators i.e. GCF of 2929,3541 is 1 .

LCM of Denominators means LCM of 513,366 as per the given fractions.

LCM of 513,366 is 62586 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2929,3541

GCF of Fractions 2929/513,3541/366 is 1/62586

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

Greatest Common Factor of 2929,3541 By Matching Biggest Common Factor Method

Greatest Common Factor of 2929,3541 By Matching Biggest Common Factor Method

Factors of 2929

List of positive integer factors of 2929 that divides 2929 without a remainder.

1,29,101,2929

Factors of 3541

List of positive integer factors of 3541 that divides 3541 without a remainder.

1,3541

Greatest Common Factor

We found the factors 2929,3541 . The biggest common factor number is the GCF number.
So the greatest common factor 2929,3541 is 1.

Lets's calculate LCM of 513,366

3 513, 366
171, 122

∴ So the LCM of the given numbers is 3 x 171 x 122 = 62586

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62586

Therefore, the GCF of Fractions 2929/513,3541/366 is 1/62586

Least Common Multiple of 513,366 with GCF Formula

Least Common Multiple of 513,366 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 513,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(513,366) = 3

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

GCF(513,366) x common factors =3 x 1 = 3

LCM(513,366) = ( 513 × 366 ) / 3

LCM(513,366) = 187758 / 3

LCM(513,366) = 62586


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 2929/513, 3541/366

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 2929/513, 3541/366?

Answer: GCF of Numerators as per given numbers 2929/513, 3541/366 is

GCF of Numerators i.e. for 2929,3541 is 1

LCM of denominators i.e. for 513,366 is 62586.

Thus, GCF of Fractions is 1/62586.Finally, GCF of Fractions for 2929/513, 3541/366 is 1/62586.