Greatest Common Factor of 5176/54, 3217/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5176/54, 3217/294

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 5176/54,3217/294

Given fractions are 5176/54,3217/294

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 5176,3217

Greatest Common Factor of Numerators i.e. GCF of 5176,3217 is 1 .

LCM of Denominators means LCM of 54,294 as per the given fractions.

LCM of 54,294 is 2646 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5176,3217

GCF of Fractions 5176/54,3217/294 is 1/2646

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5176,3217 By Matching Biggest Common Factor Method

Greatest Common Factor of 5176,3217 By Matching Biggest Common Factor Method

Factors of 5176

List of positive integer factors of 5176 that divides 5176 without a remainder.

1,2,4,8,647,1294,2588,5176

Factors of 3217

List of positive integer factors of 3217 that divides 3217 without a remainder.

1,3217

Greatest Common Factor

We found the factors 5176,3217 . The biggest common factor number is the GCF number.
So the greatest common factor 5176,3217 is 1.

Lets's calculate LCM of 54,294

2 54, 294
3 27, 147
9, 49

∴ So the LCM of the given numbers is 2 x 3 x 9 x 49 = 2646

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2646

Therefore, the GCF of Fractions 5176/54,3217/294 is 1/2646

Least Common Multiple of 54,294 with GCF Formula

Least Common Multiple of 54,294 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 54,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,294) = 6

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

GCF(54,294) x common factors =6 x 1 = 6

LCM(54,294) = ( 54 × 294 ) / 6

LCM(54,294) = 15876 / 6

LCM(54,294) = 2646


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 5176/54, 3217/294

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 5176/54, 3217/294?

Answer: GCF of Numerators as per given numbers 5176/54, 3217/294 is

GCF of Numerators i.e. for 5176,3217 is 1

LCM of denominators i.e. for 54,294 is 2646.

Thus, GCF of Fractions is 1/2646.Finally, GCF of Fractions for 5176/54, 3217/294 is 1/2646.