Greatest Common Factor of 223/82, 939/25, 116/76

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 223/82, 939/25, 116/76

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 223/82,939/25,116/76

Given fractions are 223/82,939/25,116/76

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 223,939,116

Greatest Common Factor of Numerators i.e. GCF of 223,939,116 is 1 .

LCM of Denominators means LCM of 82,25,76 as per the given fractions.

LCM of 82,25,76 is 77900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 223,939,116

GCF of Fractions 223/82,939/25,116/76 is 1/77900

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

Greatest Common Factor of 223,939,116 By Matching Biggest Common Factor Method

Greatest Common Factor of 223,939,116 By Matching Biggest Common Factor Method

Factors of 223

List of positive integer factors of 223 that divides 223 without a remainder.

1,223

Factors of 939

List of positive integer factors of 939 that divides 939 without a remainder.

1,3,313,939

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Greatest Common Factor

We found the factors 223,939,116 . The biggest common factor number is the GCF number.
So the greatest common factor 223,939,116 is 1.

Lets's calculate LCM of 82,25,76

2 82, 25, 76
41, 25, 38

∴ So the LCM of the given numbers is 2 x 41 x 25 x 38 = 77900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77900

Therefore, the GCF of Fractions 223/82,939/25,116/76 is 1/77900

Least Common Multiple of 82,25,76 with GCF Formula

Least Common Multiple of 82,25,76 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 82,25,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,25,76) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(82,25,76) x common factors =1 x 2 = 2

LCM(82,25,76) = ( 82 × 25 × 76 ) / 2

LCM(82,25,76) = 155800 / 2

LCM(82,25,76) = 77900


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 223/82, 939/25, 116/76

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 223/82, 939/25, 116/76?

Answer: GCF of Numerators as per given numbers 223/82, 939/25, 116/76 is

GCF of Numerators i.e. for 223,939,116 is 1

LCM of denominators i.e. for 82,25,76 is 77900.

Thus, GCF of Fractions is 1/77900.Finally, GCF of Fractions for 223/82, 939/25, 116/76 is 1/77900.