Greatest Common Factor of 1144/57, 8877/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1144/57, 8877/226

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 1144/57,8877/226

Given fractions are 1144/57,8877/226

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 1144,8877

Greatest Common Factor of Numerators i.e. GCF of 1144,8877 is 11 .

LCM of Denominators means LCM of 57,226 as per the given fractions.

LCM of 57,226 is 12882 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1144,8877

GCF of Fractions 1144/57,8877/226 is 11/12882

11 1144, 8877
104, 807

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 1144,8877 By Matching Biggest Common Factor Method

Greatest Common Factor of 1144,8877 By Matching Biggest Common Factor Method

Factors of 1144

List of positive integer factors of 1144 that divides 1144 without a remainder.

1,2,4,8,11,13,22,26,44,52,88,104,143,286,572,1144

Factors of 8877

List of positive integer factors of 8877 that divides 8877 without a remainder.

1,3,11,33,269,807,2959,8877

Greatest Common Factor

We found the factors 1144,8877 . The biggest common factor number is the GCF number.
So the greatest common factor 1144,8877 is 11.

Lets's calculate LCM of 57,226

Given numbers has no common factors except 1. So, there LCM is their product i.e 12882

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/12882

Therefore, the GCF of Fractions 1144/57,8877/226 is 11/12882

Least Common Multiple of 57,226 with GCF Formula

Least Common Multiple of 57,226 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 57,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,226) = 1

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

GCF(57,226) x common factors =1 x 1 = 1

LCM(57,226) = ( 57 × 226 ) / 1

LCM(57,226) = 12882 / 1

LCM(57,226) = 12882


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 1144/57, 8877/226

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 1144/57, 8877/226?

Answer: GCF of Numerators as per given numbers 1144/57, 8877/226 is

GCF of Numerators i.e. for 1144,8877 is 11

LCM of denominators i.e. for 57,226 is 12882.

Thus, GCF of Fractions is 11/12882.Finally, GCF of Fractions for 1144/57, 8877/226 is 11/12882.