Greatest Common Factor of 6014/26, 1016/904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6014/26, 1016/904

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 6014/26,1016/904

Given fractions are 6014/26,1016/904

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 6014,1016

Greatest Common Factor of Numerators i.e. GCF of 6014,1016 is 2 .

LCM of Denominators means LCM of 26,904 as per the given fractions.

LCM of 26,904 is 11752 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6014,1016

GCF of Fractions 6014/26,1016/904 is 2/11752

2 6014, 1016
3007, 508

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

Greatest Common Factor of 6014,1016 By Matching Biggest Common Factor Method

Greatest Common Factor of 6014,1016 By Matching Biggest Common Factor Method

Factors of 6014

List of positive integer factors of 6014 that divides 6014 without a remainder.

1,2,31,62,97,194,3007,6014

Factors of 1016

List of positive integer factors of 1016 that divides 1016 without a remainder.

1,2,4,8,127,254,508,1016

Greatest Common Factor

We found the factors 6014,1016 . The biggest common factor number is the GCF number.
So the greatest common factor 6014,1016 is 2.

Lets's calculate LCM of 26,904

2 26, 904
13, 452

∴ So the LCM of the given numbers is 2 x 13 x 452 = 11752

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11752

Therefore, the GCF of Fractions 6014/26,1016/904 is 2/11752

Least Common Multiple of 26,904 with GCF Formula

Least Common Multiple of 26,904 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 26,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,904) = 2

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

GCF(26,904) x common factors =2 x 1 = 2

LCM(26,904) = ( 26 × 904 ) / 2

LCM(26,904) = 23504 / 2

LCM(26,904) = 11752


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 6014/26, 1016/904

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 6014/26, 1016/904?

Answer: GCF of Numerators as per given numbers 6014/26, 1016/904 is

GCF of Numerators i.e. for 6014,1016 is 2

LCM of denominators i.e. for 26,904 is 11752.

Thus, GCF of Fractions is 2/11752.Finally, GCF of Fractions for 6014/26, 1016/904 is 2/11752.