Greatest Common Factor of 589/79, 1116/472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 589/79, 1116/472

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 589/79,1116/472

Given fractions are 589/79,1116/472

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 589,1116

Greatest Common Factor of Numerators i.e. GCF of 589,1116 is 31 .

LCM of Denominators means LCM of 79,472 as per the given fractions.

LCM of 79,472 is 37288 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 589,1116

GCF of Fractions 589/79,1116/472 is 31/37288

31 589, 1116
19, 36

∴ So the GCF of the given numbers is 31 = 31

Greatest Common Factor of 589,1116 By Matching Biggest Common Factor Method

Greatest Common Factor of 589,1116 By Matching Biggest Common Factor Method

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Factors of 1116

List of positive integer factors of 1116 that divides 1116 without a remainder.

1,2,3,4,6,9,12,18,31,36,62,93,124,186,279,372,558,1116

Greatest Common Factor

We found the factors 589,1116 . The biggest common factor number is the GCF number.
So the greatest common factor 589,1116 is 31.

Lets's calculate LCM of 79,472

Given numbers has no common factors except 1. So, there LCM is their product i.e 37288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/37288

Therefore, the GCF of Fractions 589/79,1116/472 is 31/37288

Least Common Multiple of 79,472 with GCF Formula

Least Common Multiple of 79,472 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 79,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,472) = 1

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

GCF(79,472) x common factors =1 x 1 = 1

LCM(79,472) = ( 79 × 472 ) / 1

LCM(79,472) = 37288 / 1

LCM(79,472) = 37288


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 589/79, 1116/472

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 589/79, 1116/472?

Answer: GCF of Numerators as per given numbers 589/79, 1116/472 is

GCF of Numerators i.e. for 589,1116 is 31

LCM of denominators i.e. for 79,472 is 37288.

Thus, GCF of Fractions is 31/37288.Finally, GCF of Fractions for 589/79, 1116/472 is 31/37288.