Greatest Common Factor of 5342/11, 5366/757

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5342/11, 5366/757

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 5342/11,5366/757

Given fractions are 5342/11,5366/757

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 5342,5366

Greatest Common Factor of Numerators i.e. GCF of 5342,5366 is 2 .

LCM of Denominators means LCM of 11,757 as per the given fractions.

LCM of 11,757 is 8327 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5342,5366

GCF of Fractions 5342/11,5366/757 is 2/8327

2 5342, 5366
2671, 2683

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

Greatest Common Factor of 5342,5366 By Matching Biggest Common Factor Method

Greatest Common Factor of 5342,5366 By Matching Biggest Common Factor Method

Factors of 5342

List of positive integer factors of 5342 that divides 5342 without a remainder.

1,2,2671,5342

Factors of 5366

List of positive integer factors of 5366 that divides 5366 without a remainder.

1,2,2683,5366

Greatest Common Factor

We found the factors 5342,5366 . The biggest common factor number is the GCF number.
So the greatest common factor 5342,5366 is 2.

Lets's calculate LCM of 11,757

Given numbers has no common factors except 1. So, there LCM is their product i.e 8327

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8327

Therefore, the GCF of Fractions 5342/11,5366/757 is 2/8327

Least Common Multiple of 11,757 with GCF Formula

Least Common Multiple of 11,757 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 11,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,757) = 1

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

GCF(11,757) x common factors =1 x 1 = 1

LCM(11,757) = ( 11 × 757 ) / 1

LCM(11,757) = 8327 / 1

LCM(11,757) = 8327


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 5342/11, 5366/757

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 5342/11, 5366/757?

Answer: GCF of Numerators as per given numbers 5342/11, 5366/757 is

GCF of Numerators i.e. for 5342,5366 is 2

LCM of denominators i.e. for 11,757 is 8327.

Thus, GCF of Fractions is 2/8327.Finally, GCF of Fractions for 5342/11, 5366/757 is 2/8327.