Greatest Common Factor of 5826/760, 1266/3378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5826/760, 1266/3378

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 5826/760,1266/3378

Given fractions are 5826/760,1266/3378

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 5826,1266

Greatest Common Factor of Numerators i.e. GCF of 5826,1266 is 6 .

LCM of Denominators means LCM of 760,3378 as per the given fractions.

LCM of 760,3378 is 1283640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5826,1266

GCF of Fractions 5826/760,1266/3378 is 6/1283640

2 5826, 1266
3 2913, 633
971, 211

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 5826,1266 By Matching Biggest Common Factor Method

Greatest Common Factor of 5826,1266 By Matching Biggest Common Factor Method

Factors of 5826

List of positive integer factors of 5826 that divides 5826 without a remainder.

1,2,3,6,971,1942,2913,5826

Factors of 1266

List of positive integer factors of 1266 that divides 1266 without a remainder.

1,2,3,6,211,422,633,1266

Greatest Common Factor

We found the factors 5826,1266 . The biggest common factor number is the GCF number.
So the greatest common factor 5826,1266 is 6.

Lets's calculate LCM of 760,3378

2 760, 3378
380, 1689

∴ So the LCM of the given numbers is 2 x 380 x 1689 = 1283640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1283640

Therefore, the GCF of Fractions 5826/760,1266/3378 is 6/1283640

Least Common Multiple of 760,3378 with GCF Formula

Least Common Multiple of 760,3378 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 760,3378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(760,3378) = 2

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

GCF(760,3378) x common factors =2 x 1 = 2

LCM(760,3378) = ( 760 × 3378 ) / 2

LCM(760,3378) = 2567280 / 2

LCM(760,3378) = 1283640


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 5826/760, 1266/3378

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 5826/760, 1266/3378?

Answer: GCF of Numerators as per given numbers 5826/760, 1266/3378 is

GCF of Numerators i.e. for 5826,1266 is 6

LCM of denominators i.e. for 760,3378 is 1283640.

Thus, GCF of Fractions is 6/1283640.Finally, GCF of Fractions for 5826/760, 1266/3378 is 6/1283640.