Greatest Common Factor of 5507/247, 3171/293

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5507/247, 3171/293

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 5507/247,3171/293

Given fractions are 5507/247,3171/293

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 5507,3171

Greatest Common Factor of Numerators i.e. GCF of 5507,3171 is 1 .

LCM of Denominators means LCM of 247,293 as per the given fractions.

LCM of 247,293 is 72371 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5507,3171

GCF of Fractions 5507/247,3171/293 is 1/72371

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

Greatest Common Factor of 5507,3171 By Matching Biggest Common Factor Method

Greatest Common Factor of 5507,3171 By Matching Biggest Common Factor Method

Factors of 5507

List of positive integer factors of 5507 that divides 5507 without a remainder.

1,5507

Factors of 3171

List of positive integer factors of 3171 that divides 3171 without a remainder.

1,3,7,21,151,453,1057,3171

Greatest Common Factor

We found the factors 5507,3171 . The biggest common factor number is the GCF number.
So the greatest common factor 5507,3171 is 1.

Lets's calculate LCM of 247,293

Given numbers has no common factors except 1. So, there LCM is their product i.e 72371

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72371

Therefore, the GCF of Fractions 5507/247,3171/293 is 1/72371

Least Common Multiple of 247,293 with GCF Formula

Least Common Multiple of 247,293 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 247,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(247,293) = 1

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

GCF(247,293) x common factors =1 x 1 = 1

LCM(247,293) = ( 247 × 293 ) / 1

LCM(247,293) = 72371 / 1

LCM(247,293) = 72371


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 5507/247, 3171/293

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 5507/247, 3171/293?

Answer: GCF of Numerators as per given numbers 5507/247, 3171/293 is

GCF of Numerators i.e. for 5507,3171 is 1

LCM of denominators i.e. for 247,293 is 72371.

Thus, GCF of Fractions is 1/72371.Finally, GCF of Fractions for 5507/247, 3171/293 is 1/72371.