Greatest Common Factor of 6376/13, 3014/741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6376/13, 3014/741

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 6376/13,3014/741

Given fractions are 6376/13,3014/741

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 6376,3014

Greatest Common Factor of Numerators i.e. GCF of 6376,3014 is 2 .

LCM of Denominators means LCM of 13,741 as per the given fractions.

LCM of 13,741 is 741 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6376,3014

GCF of Fractions 6376/13,3014/741 is 2/741

2 6376, 3014
3188, 1507

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

Greatest Common Factor of 6376,3014 By Matching Biggest Common Factor Method

Greatest Common Factor of 6376,3014 By Matching Biggest Common Factor Method

Factors of 6376

List of positive integer factors of 6376 that divides 6376 without a remainder.

1,2,4,8,797,1594,3188,6376

Factors of 3014

List of positive integer factors of 3014 that divides 3014 without a remainder.

1,2,11,22,137,274,1507,3014

Greatest Common Factor

We found the factors 6376,3014 . The biggest common factor number is the GCF number.
So the greatest common factor 6376,3014 is 2.

Lets's calculate LCM of 13,741

13 13, 741
1, 57

∴ So the LCM of the given numbers is 13 x 1 x 57 = 741

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/741

Therefore, the GCF of Fractions 6376/13,3014/741 is 2/741

Least Common Multiple of 13,741 with GCF Formula

Least Common Multiple of 13,741 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 13,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,741) = 13

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

GCF(13,741) x common factors =13 x 1 = 13

LCM(13,741) = ( 13 × 741 ) / 13

LCM(13,741) = 9633 / 13

LCM(13,741) = 741


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 6376/13, 3014/741

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 6376/13, 3014/741?

Answer: GCF of Numerators as per given numbers 6376/13, 3014/741 is

GCF of Numerators i.e. for 6376,3014 is 2

LCM of denominators i.e. for 13,741 is 741.

Thus, GCF of Fractions is 2/741.Finally, GCF of Fractions for 6376/13, 3014/741 is 2/741.