Greatest Common Factor of 5247/638, 9296/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5247/638, 9296/426

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 5247/638,9296/426

Given fractions are 5247/638,9296/426

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 5247,9296

Greatest Common Factor of Numerators i.e. GCF of 5247,9296 is 1 .

LCM of Denominators means LCM of 638,426 as per the given fractions.

LCM of 638,426 is 135894 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5247,9296

GCF of Fractions 5247/638,9296/426 is 1/135894

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

Greatest Common Factor of 5247,9296 By Matching Biggest Common Factor Method

Greatest Common Factor of 5247,9296 By Matching Biggest Common Factor Method

Factors of 5247

List of positive integer factors of 5247 that divides 5247 without a remainder.

1,3,9,11,33,53,99,159,477,583,1749,5247

Factors of 9296

List of positive integer factors of 9296 that divides 9296 without a remainder.

1,2,4,7,8,14,16,28,56,83,112,166,332,581,664,1162,1328,2324,4648,9296

Greatest Common Factor

We found the factors 5247,9296 . The biggest common factor number is the GCF number.
So the greatest common factor 5247,9296 is 1.

Lets's calculate LCM of 638,426

2 638, 426
319, 213

∴ So the LCM of the given numbers is 2 x 319 x 213 = 135894

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/135894

Therefore, the GCF of Fractions 5247/638,9296/426 is 1/135894

Least Common Multiple of 638,426 with GCF Formula

Least Common Multiple of 638,426 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 638,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(638,426) = 2

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

GCF(638,426) x common factors =2 x 1 = 2

LCM(638,426) = ( 638 × 426 ) / 2

LCM(638,426) = 271788 / 2

LCM(638,426) = 135894


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 5247/638, 9296/426

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 5247/638, 9296/426?

Answer: GCF of Numerators as per given numbers 5247/638, 9296/426 is

GCF of Numerators i.e. for 5247,9296 is 1

LCM of denominators i.e. for 638,426 is 135894.

Thus, GCF of Fractions is 1/135894.Finally, GCF of Fractions for 5247/638, 9296/426 is 1/135894.