Greatest Common Factor of 116/76, 204/75, 223/39

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 116/76, 204/75, 223/39

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 116/76,204/75,223/39

Given fractions are 116/76,204/75,223/39

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 116,204,223

Greatest Common Factor of Numerators i.e. GCF of 116,204,223 is 1 .

LCM of Denominators means LCM of 76,75,39 as per the given fractions.

LCM of 76,75,39 is 74100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 116,204,223

GCF of Fractions 116/76,204/75,223/39 is 1/74100

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

Greatest Common Factor of 116,204,223 By Matching Biggest Common Factor Method

Greatest Common Factor of 116,204,223 By Matching Biggest Common Factor Method

Factors of 116

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

1,2,4,29,58,116

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 223

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

1,223

Greatest Common Factor

We found the factors 116,204,223 . The biggest common factor number is the GCF number.
So the greatest common factor 116,204,223 is 1.

Lets's calculate LCM of 76,75,39

3 76, 75, 39
76, 25, 13

∴ So the LCM of the given numbers is 3 x 76 x 25 x 13 = 74100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74100

Therefore, the GCF of Fractions 116/76,204/75,223/39 is 1/74100

Least Common Multiple of 76,75,39 with GCF Formula

Least Common Multiple of 76,75,39 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 76,75,39 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,75,39) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(76,75,39) x common factors =1 x 3 = 3

LCM(76,75,39) = ( 76 × 75 × 39 ) / 3

LCM(76,75,39) = 222300 / 3

LCM(76,75,39) = 74100


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 116/76, 204/75, 223/39

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 116/76, 204/75, 223/39?

Answer: GCF of Numerators as per given numbers 116/76, 204/75, 223/39 is

GCF of Numerators i.e. for 116,204,223 is 1

LCM of denominators i.e. for 76,75,39 is 74100.

Thus, GCF of Fractions is 1/74100.Finally, GCF of Fractions for 116/76, 204/75, 223/39 is 1/74100.