Greatest Common Factor of 1042/741, 5760/7619

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1042/741, 5760/7619

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 1042/741,5760/7619

Given fractions are 1042/741,5760/7619

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 1042,5760

Greatest Common Factor of Numerators i.e. GCF of 1042,5760 is 2 .

LCM of Denominators means LCM of 741,7619 as per the given fractions.

LCM of 741,7619 is 297141 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1042,5760

GCF of Fractions 1042/741,5760/7619 is 2/297141

2 1042, 5760
521, 2880

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

Greatest Common Factor of 1042,5760 By Matching Biggest Common Factor Method

Greatest Common Factor of 1042,5760 By Matching Biggest Common Factor Method

Factors of 1042

List of positive integer factors of 1042 that divides 1042 without a remainder.

1,2,521,1042

Factors of 5760

List of positive integer factors of 5760 that divides 5760 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,32,36,40,45,48,60,64,72,80,90,96,120,128,144,160,180,192,240,288,320,360,384,480,576,640,720,960,1152,1440,1920,2880,5760

Greatest Common Factor

We found the factors 1042,5760 . The biggest common factor number is the GCF number.
So the greatest common factor 1042,5760 is 2.

Lets's calculate LCM of 741,7619

19 741, 7619
39, 401

∴ So the LCM of the given numbers is 19 x 39 x 401 = 297141

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/297141

Therefore, the GCF of Fractions 1042/741,5760/7619 is 2/297141

Least Common Multiple of 741,7619 with GCF Formula

Least Common Multiple of 741,7619 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 741,7619 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(741,7619) = 19

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

GCF(741,7619) x common factors =19 x 1 = 19

LCM(741,7619) = ( 741 × 7619 ) / 19

LCM(741,7619) = 5645679 / 19

LCM(741,7619) = 297141


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 1042/741, 5760/7619

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 1042/741, 5760/7619?

Answer: GCF of Numerators as per given numbers 1042/741, 5760/7619 is

GCF of Numerators i.e. for 1042,5760 is 2

LCM of denominators i.e. for 741,7619 is 297141.

Thus, GCF of Fractions is 2/297141.Finally, GCF of Fractions for 1042/741, 5760/7619 is 2/297141.