Greatest Common Factor of 927/95, 144/34, 972/14

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 927/95, 144/34, 972/14

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 927/95,144/34,972/14

Given fractions are 927/95,144/34,972/14

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 927,144,972

Greatest Common Factor of Numerators i.e. GCF of 927,144,972 is 9 .

LCM of Denominators means LCM of 95,34,14 as per the given fractions.

LCM of 95,34,14 is 22610 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 927,144,972

GCF of Fractions 927/95,144/34,972/14 is 9/22610

3 927, 144, 972
3 309, 48, 324
103, 16, 108

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 927,144,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 927,144,972 By Matching Biggest Common Factor Method

Factors of 927

List of positive integer factors of 927 that divides 927 without a remainder.

1,3,9,103,309,927

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 927,144,972 . The biggest common factor number is the GCF number.
So the greatest common factor 927,144,972 is 9.

Lets's calculate LCM of 95,34,14

2 95, 34, 14
95, 17, 7

∴ So the LCM of the given numbers is 2 x 95 x 17 x 7 = 22610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/22610

Therefore, the GCF of Fractions 927/95,144/34,972/14 is 9/22610

Least Common Multiple of 95,34,14 with GCF Formula

Least Common Multiple of 95,34,14 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 95,34,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,34,14) = 1

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

GCF(95,34,14) x common factors =1 x 2 = 2

LCM(95,34,14) = ( 95 × 34 × 14 ) / 2

LCM(95,34,14) = 45220 / 2

LCM(95,34,14) = 22610


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 927/95, 144/34, 972/14

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 927/95, 144/34, 972/14?

Answer: GCF of Numerators as per given numbers 927/95, 144/34, 972/14 is

GCF of Numerators i.e. for 927,144,972 is 9

LCM of denominators i.e. for 95,34,14 is 22610.

Thus, GCF of Fractions is 9/22610.Finally, GCF of Fractions for 927/95, 144/34, 972/14 is 9/22610.