Greatest Common Factor of 2697/121, 7188/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2697/121, 7188/226

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 2697/121,7188/226

Given fractions are 2697/121,7188/226

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 2697,7188

Greatest Common Factor of Numerators i.e. GCF of 2697,7188 is 3 .

LCM of Denominators means LCM of 121,226 as per the given fractions.

LCM of 121,226 is 27346 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2697,7188

GCF of Fractions 2697/121,7188/226 is 3/27346

3 2697, 7188
899, 2396

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 2697,7188 By Matching Biggest Common Factor Method

Greatest Common Factor of 2697,7188 By Matching Biggest Common Factor Method

Factors of 2697

List of positive integer factors of 2697 that divides 2697 without a remainder.

1,3,29,31,87,93,899,2697

Factors of 7188

List of positive integer factors of 7188 that divides 7188 without a remainder.

1,2,3,4,6,12,599,1198,1797,2396,3594,7188

Greatest Common Factor

We found the factors 2697,7188 . The biggest common factor number is the GCF number.
So the greatest common factor 2697,7188 is 3.

Lets's calculate LCM of 121,226

Given numbers has no common factors except 1. So, there LCM is their product i.e 27346

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/27346

Therefore, the GCF of Fractions 2697/121,7188/226 is 3/27346

Least Common Multiple of 121,226 with GCF Formula

Least Common Multiple of 121,226 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 121,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(121,226) = 1

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

GCF(121,226) x common factors =1 x 1 = 1

LCM(121,226) = ( 121 × 226 ) / 1

LCM(121,226) = 27346 / 1

LCM(121,226) = 27346


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 2697/121, 7188/226

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 2697/121, 7188/226?

Answer: GCF of Numerators as per given numbers 2697/121, 7188/226 is

GCF of Numerators i.e. for 2697,7188 is 3

LCM of denominators i.e. for 121,226 is 27346.

Thus, GCF of Fractions is 3/27346.Finally, GCF of Fractions for 2697/121, 7188/226 is 3/27346.