Greatest Common Factor of 27/194, 615/194

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/194, 615/194

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 27/194,615/194

Given fractions are 27/194,615/194

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 27,615

Greatest Common Factor of Numerators i.e. GCF of 27,615 is 3 .

LCM of Denominators means LCM of 194,194 as per the given fractions.

LCM of 194,194 is 194 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,615

GCF of Fractions 27/194,615/194 is 3/194

3 27, 615
9, 205

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

Greatest Common Factor of 27,615 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,615 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Greatest Common Factor

We found the factors 27,615 . The biggest common factor number is the GCF number.
So the greatest common factor 27,615 is 3.

Lets's calculate LCM of 194,194

2 194, 194
97 97, 97
1, 1

∴ So the LCM of the given numbers is 2 x 97 x 1 x 1 = 194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/194

Therefore, the GCF of Fractions 27/194,615/194 is 3/194

Least Common Multiple of 194,194 with GCF Formula

Least Common Multiple of 194,194 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 194,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(194,194) = 194

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

GCF(194,194) x common factors =194 x 1 = 194

LCM(194,194) = ( 194 × 194 ) / 194

LCM(194,194) = 37636 / 194

LCM(194,194) = 194


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 27/194, 615/194

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 27/194, 615/194?

Answer: GCF of Numerators as per given numbers 27/194, 615/194 is

GCF of Numerators i.e. for 27,615 is 3

LCM of denominators i.e. for 194,194 is 194.

Thus, GCF of Fractions is 3/194.Finally, GCF of Fractions for 27/194, 615/194 is 3/194.