Greatest Common Factor of 5960/741, 4118/4374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5960/741, 4118/4374

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 5960/741,4118/4374

Given fractions are 5960/741,4118/4374

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 5960,4118

Greatest Common Factor of Numerators i.e. GCF of 5960,4118 is 2 .

LCM of Denominators means LCM of 741,4374 as per the given fractions.

LCM of 741,4374 is 1080378 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5960,4118

GCF of Fractions 5960/741,4118/4374 is 2/1080378

2 5960, 4118
2980, 2059

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5960,4118 By Matching Biggest Common Factor Method

Greatest Common Factor of 5960,4118 By Matching Biggest Common Factor Method

Factors of 5960

List of positive integer factors of 5960 that divides 5960 without a remainder.

1,2,4,5,8,10,20,40,149,298,596,745,1192,1490,2980,5960

Factors of 4118

List of positive integer factors of 4118 that divides 4118 without a remainder.

1,2,29,58,71,142,2059,4118

Greatest Common Factor

We found the factors 5960,4118 . The biggest common factor number is the GCF number.
So the greatest common factor 5960,4118 is 2.

Lets's calculate LCM of 741,4374

3 741, 4374
247, 1458

∴ So the LCM of the given numbers is 3 x 247 x 1458 = 1080378

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1080378

Therefore, the GCF of Fractions 5960/741,4118/4374 is 2/1080378

Least Common Multiple of 741,4374 with GCF Formula

Least Common Multiple of 741,4374 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 741,4374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(741,4374) = 3

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

GCF(741,4374) x common factors =3 x 1 = 3

LCM(741,4374) = ( 741 × 4374 ) / 3

LCM(741,4374) = 3241134 / 3

LCM(741,4374) = 1080378


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 5960/741, 4118/4374

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 5960/741, 4118/4374?

Answer: GCF of Numerators as per given numbers 5960/741, 4118/4374 is

GCF of Numerators i.e. for 5960,4118 is 2

LCM of denominators i.e. for 741,4374 is 1080378.

Thus, GCF of Fractions is 2/1080378.Finally, GCF of Fractions for 5960/741, 4118/4374 is 2/1080378.