Greatest Common Factor of 73/89, 78/69, 48/47, 31/27

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 73/89, 78/69, 48/47, 31/27

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 73/89,78/69,48/47,31/27

Given fractions are 73/89,78/69,48/47,31/27

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 73,78,48,31

Greatest Common Factor of Numerators i.e. GCF of 73,78,48,31 is 1 .

LCM of Denominators means LCM of 89,69,47,27 as per the given fractions.

LCM of 89,69,47,27 is 2597643 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 73,78,48,31

GCF of Fractions 73/89,78/69,48/47,31/27 is 1/2597643

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

Greatest Common Factor of 73,78,48,31 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,78,48,31 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Greatest Common Factor

We found the factors 73,78,48,31 . The biggest common factor number is the GCF number.
So the greatest common factor 73,78,48,31 is 1.

Lets's calculate LCM of 89,69,47,27

3 89, 69, 47, 27
89, 23, 47, 9

∴ So the LCM of the given numbers is 3 x 89 x 23 x 47 x 9 = 2597643

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2597643

Therefore, the GCF of Fractions 73/89,78/69,48/47,31/27 is 1/2597643

Least Common Multiple of 89,69,47,27 with GCF Formula

Least Common Multiple of 89,69,47,27 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 89,69,47,27 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,69,47,27) = 1

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

GCF(89,69,47,27) x common factors =1 x 3 = 3

LCM(89,69,47,27) = ( 89 × 69 × 47 × 27 ) / 3

LCM(89,69,47,27) = 7792929 / 3

LCM(89,69,47,27) = 2597643


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 73/89, 78/69, 48/47, 31/27

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 73/89, 78/69, 48/47, 31/27?

Answer: GCF of Numerators as per given numbers 73/89, 78/69, 48/47, 31/27 is

GCF of Numerators i.e. for 73,78,48,31 is 1

LCM of denominators i.e. for 89,69,47,27 is 2597643.

Thus, GCF of Fractions is 1/2597643.Finally, GCF of Fractions for 73/89, 78/69, 48/47, 31/27 is 1/2597643.