Greatest Common Factor of 684/7633, 108/5903

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 684/7633, 108/5903

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 684/7633,108/5903

Given fractions are 684/7633,108/5903

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 684,108

Greatest Common Factor of Numerators i.e. GCF of 684,108 is 36 .

LCM of Denominators means LCM of 7633,5903 as per the given fractions.

LCM of 7633,5903 is 45057599 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 684,108

GCF of Fractions 684/7633,108/5903 is 36/45057599

2 684, 108
2 342, 54
3 171, 27
3 57, 9
19, 3

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36

Greatest Common Factor of 684,108 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,108 By Matching Biggest Common Factor Method

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Greatest Common Factor

We found the factors 684,108 . The biggest common factor number is the GCF number.
So the greatest common factor 684,108 is 36.

Lets's calculate LCM of 7633,5903

Given numbers has no common factors except 1. So, there LCM is their product i.e 45057599

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/45057599

Therefore, the GCF of Fractions 684/7633,108/5903 is 36/45057599

Least Common Multiple of 7633,5903 with GCF Formula

Least Common Multiple of 7633,5903 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 7633,5903 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7633,5903) = 1

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

GCF(7633,5903) x common factors =1 x 1 = 1

LCM(7633,5903) = ( 7633 × 5903 ) / 1

LCM(7633,5903) = 45057599 / 1

LCM(7633,5903) = 45057599


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 684/7633, 108/5903

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 684/7633, 108/5903?

Answer: GCF of Numerators as per given numbers 684/7633, 108/5903 is

GCF of Numerators i.e. for 684,108 is 36

LCM of denominators i.e. for 7633,5903 is 45057599.

Thus, GCF of Fractions is 36/45057599.Finally, GCF of Fractions for 684/7633, 108/5903 is 36/45057599.