Greatest Common Factor of 508/189, 6443/8829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 508/189, 6443/8829

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 508/189,6443/8829

Given fractions are 508/189,6443/8829

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 508,6443

Greatest Common Factor of Numerators i.e. GCF of 508,6443 is 1 .

LCM of Denominators means LCM of 189,8829 as per the given fractions.

LCM of 189,8829 is 61803 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 508,6443

GCF of Fractions 508/189,6443/8829 is 1/61803

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

Greatest Common Factor of 508,6443 By Matching Biggest Common Factor Method

Greatest Common Factor of 508,6443 By Matching Biggest Common Factor Method

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Factors of 6443

List of positive integer factors of 6443 that divides 6443 without a remainder.

1,17,379,6443

Greatest Common Factor

We found the factors 508,6443 . The biggest common factor number is the GCF number.
So the greatest common factor 508,6443 is 1.

Lets's calculate LCM of 189,8829

3 189, 8829
3 63, 2943
3 21, 981
7, 327

∴ So the LCM of the given numbers is 3 x 3 x 3 x 7 x 327 = 61803

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61803

Therefore, the GCF of Fractions 508/189,6443/8829 is 1/61803

Least Common Multiple of 189,8829 with GCF Formula

Least Common Multiple of 189,8829 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 189,8829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(189,8829) = 27

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

GCF(189,8829) x common factors =27 x 1 = 27

LCM(189,8829) = ( 189 × 8829 ) / 27

LCM(189,8829) = 1668681 / 27

LCM(189,8829) = 61803


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 508/189, 6443/8829

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 508/189, 6443/8829?

Answer: GCF of Numerators as per given numbers 508/189, 6443/8829 is

GCF of Numerators i.e. for 508,6443 is 1

LCM of denominators i.e. for 189,8829 is 61803.

Thus, GCF of Fractions is 1/61803.Finally, GCF of Fractions for 508/189, 6443/8829 is 1/61803.