Greatest Common Factor of 4779/693, 5616/589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4779/693, 5616/589

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 4779/693,5616/589

Given fractions are 4779/693,5616/589

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 4779,5616

Greatest Common Factor of Numerators i.e. GCF of 4779,5616 is 27 .

LCM of Denominators means LCM of 693,589 as per the given fractions.

LCM of 693,589 is 408177 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4779,5616

GCF of Fractions 4779/693,5616/589 is 27/408177

3 4779, 5616
3 1593, 1872
3 531, 624
177, 208

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Greatest Common Factor of 4779,5616 By Matching Biggest Common Factor Method

Greatest Common Factor of 4779,5616 By Matching Biggest Common Factor Method

Factors of 4779

List of positive integer factors of 4779 that divides 4779 without a remainder.

1,3,9,27,59,81,177,531,1593,4779

Factors of 5616

List of positive integer factors of 5616 that divides 5616 without a remainder.

1,2,3,4,6,8,9,12,13,16,18,24,26,27,36,39,48,52,54,72,78,104,108,117,144,156,208,216,234,312,351,432,468,624,702,936,1404,1872,2808,5616

Greatest Common Factor

We found the factors 4779,5616 . The biggest common factor number is the GCF number.
So the greatest common factor 4779,5616 is 27.

Lets's calculate LCM of 693,589

Given numbers has no common factors except 1. So, there LCM is their product i.e 408177

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/408177

Therefore, the GCF of Fractions 4779/693,5616/589 is 27/408177

Least Common Multiple of 693,589 with GCF Formula

Least Common Multiple of 693,589 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 693,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(693,589) = 1

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

GCF(693,589) x common factors =1 x 1 = 1

LCM(693,589) = ( 693 × 589 ) / 1

LCM(693,589) = 408177 / 1

LCM(693,589) = 408177


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 4779/693, 5616/589

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 4779/693, 5616/589?

Answer: GCF of Numerators as per given numbers 4779/693, 5616/589 is

GCF of Numerators i.e. for 4779,5616 is 27

LCM of denominators i.e. for 693,589 is 408177.

Thus, GCF of Fractions is 27/408177.Finally, GCF of Fractions for 4779/693, 5616/589 is 27/408177.