Greatest Common Factor of 27/47, 112/30, 195/874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/47, 112/30, 195/874

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 27/47,112/30,195/874

Given fractions are 27/47,112/30,195/874

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 27,112,195

Greatest Common Factor of Numerators i.e. GCF of 27,112,195 is 1 .

LCM of Denominators means LCM of 47,30,874 as per the given fractions.

LCM of 47,30,874 is 616170 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,112,195

GCF of Fractions 27/47,112/30,195/874 is 1/616170

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

Greatest Common Factor of 27,112,195 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,112,195 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 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Greatest Common Factor

We found the factors 27,112,195 . The biggest common factor number is the GCF number.
So the greatest common factor 27,112,195 is 1.

Lets's calculate LCM of 47,30,874

2 47, 30, 874
47, 15, 437

∴ So the LCM of the given numbers is 2 x 47 x 15 x 437 = 616170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/616170

Therefore, the GCF of Fractions 27/47,112/30,195/874 is 1/616170

Least Common Multiple of 47,30,874 with GCF Formula

Least Common Multiple of 47,30,874 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 47,30,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,30,874) = 1

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

GCF(47,30,874) x common factors =1 x 2 = 2

LCM(47,30,874) = ( 47 × 30 × 874 ) / 2

LCM(47,30,874) = 1232340 / 2

LCM(47,30,874) = 616170


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 27/47, 112/30, 195/874

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 27/47, 112/30, 195/874?

Answer: GCF of Numerators as per given numbers 27/47, 112/30, 195/874 is

GCF of Numerators i.e. for 27,112,195 is 1

LCM of denominators i.e. for 47,30,874 is 616170.

Thus, GCF of Fractions is 1/616170.Finally, GCF of Fractions for 27/47, 112/30, 195/874 is 1/616170.