Greatest Common Factor of 5394/52, 5484/193

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5394/52, 5484/193

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 5394/52,5484/193

Given fractions are 5394/52,5484/193

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 5394,5484

Greatest Common Factor of Numerators i.e. GCF of 5394,5484 is 6 .

LCM of Denominators means LCM of 52,193 as per the given fractions.

LCM of 52,193 is 10036 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5394,5484

GCF of Fractions 5394/52,5484/193 is 6/10036

2 5394, 5484
3 2697, 2742
899, 914

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 5394,5484 By Matching Biggest Common Factor Method

Greatest Common Factor of 5394,5484 By Matching Biggest Common Factor Method

Factors of 5394

List of positive integer factors of 5394 that divides 5394 without a remainder.

1,2,3,6,29,31,58,62,87,93,174,186,899,1798,2697,5394

Factors of 5484

List of positive integer factors of 5484 that divides 5484 without a remainder.

1,2,3,4,6,12,457,914,1371,1828,2742,5484

Greatest Common Factor

We found the factors 5394,5484 . The biggest common factor number is the GCF number.
So the greatest common factor 5394,5484 is 6.

Lets's calculate LCM of 52,193

Given numbers has no common factors except 1. So, there LCM is their product i.e 10036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/10036

Therefore, the GCF of Fractions 5394/52,5484/193 is 6/10036

Least Common Multiple of 52,193 with GCF Formula

Least Common Multiple of 52,193 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 52,193 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,193) = 1

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

GCF(52,193) x common factors =1 x 1 = 1

LCM(52,193) = ( 52 × 193 ) / 1

LCM(52,193) = 10036 / 1

LCM(52,193) = 10036


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 5394/52, 5484/193

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 5394/52, 5484/193?

Answer: GCF of Numerators as per given numbers 5394/52, 5484/193 is

GCF of Numerators i.e. for 5394,5484 is 6

LCM of denominators i.e. for 52,193 is 10036.

Thus, GCF of Fractions is 6/10036.Finally, GCF of Fractions for 5394/52, 5484/193 is 6/10036.