Greatest Common Factor of 5034/438, 3439/4362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5034/438, 3439/4362

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 5034/438,3439/4362

Given fractions are 5034/438,3439/4362

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 5034,3439

Greatest Common Factor of Numerators i.e. GCF of 5034,3439 is 1 .

LCM of Denominators means LCM of 438,4362 as per the given fractions.

LCM of 438,4362 is 318426 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5034,3439

GCF of Fractions 5034/438,3439/4362 is 1/318426

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5034,3439 By Matching Biggest Common Factor Method

Greatest Common Factor of 5034,3439 By Matching Biggest Common Factor Method

Factors of 5034

List of positive integer factors of 5034 that divides 5034 without a remainder.

1,2,3,6,839,1678,2517,5034

Factors of 3439

List of positive integer factors of 3439 that divides 3439 without a remainder.

1,19,181,3439

Greatest Common Factor

We found the factors 5034,3439 . The biggest common factor number is the GCF number.
So the greatest common factor 5034,3439 is 1.

Lets's calculate LCM of 438,4362

2 438, 4362
3 219, 2181
73, 727

∴ So the LCM of the given numbers is 2 x 3 x 73 x 727 = 318426

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/318426

Therefore, the GCF of Fractions 5034/438,3439/4362 is 1/318426

Least Common Multiple of 438,4362 with GCF Formula

Least Common Multiple of 438,4362 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 438,4362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,4362) = 6

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

GCF(438,4362) x common factors =6 x 1 = 6

LCM(438,4362) = ( 438 × 4362 ) / 6

LCM(438,4362) = 1910556 / 6

LCM(438,4362) = 318426


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 5034/438, 3439/4362

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 5034/438, 3439/4362?

Answer: GCF of Numerators as per given numbers 5034/438, 3439/4362 is

GCF of Numerators i.e. for 5034,3439 is 1

LCM of denominators i.e. for 438,4362 is 318426.

Thus, GCF of Fractions is 1/318426.Finally, GCF of Fractions for 5034/438, 3439/4362 is 1/318426.