Greatest Common Factor of 2132/683, 5394/479

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2132/683, 5394/479

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 2132/683,5394/479

Given fractions are 2132/683,5394/479

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 2132,5394

Greatest Common Factor of Numerators i.e. GCF of 2132,5394 is 2 .

LCM of Denominators means LCM of 683,479 as per the given fractions.

LCM of 683,479 is 327157 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2132,5394

GCF of Fractions 2132/683,5394/479 is 2/327157

2 2132, 5394
1066, 2697

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2132,5394 By Matching Biggest Common Factor Method

Greatest Common Factor of 2132,5394 By Matching Biggest Common Factor Method

Factors of 2132

List of positive integer factors of 2132 that divides 2132 without a remainder.

1,2,4,13,26,41,52,82,164,533,1066,2132

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

Greatest Common Factor

We found the factors 2132,5394 . The biggest common factor number is the GCF number.
So the greatest common factor 2132,5394 is 2.

Lets's calculate LCM of 683,479

Given numbers has no common factors except 1. So, there LCM is their product i.e 327157

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/327157

Therefore, the GCF of Fractions 2132/683,5394/479 is 2/327157

Least Common Multiple of 683,479 with GCF Formula

Least Common Multiple of 683,479 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 683,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(683,479) = 1

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

GCF(683,479) x common factors =1 x 1 = 1

LCM(683,479) = ( 683 × 479 ) / 1

LCM(683,479) = 327157 / 1

LCM(683,479) = 327157


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 2132/683, 5394/479

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 2132/683, 5394/479?

Answer: GCF of Numerators as per given numbers 2132/683, 5394/479 is

GCF of Numerators i.e. for 2132,5394 is 2

LCM of denominators i.e. for 683,479 is 327157.

Thus, GCF of Fractions is 2/327157.Finally, GCF of Fractions for 2132/683, 5394/479 is 2/327157.