Greatest Common Factor of 6089/172, 8093/1808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6089/172, 8093/1808

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 6089/172,8093/1808

Given fractions are 6089/172,8093/1808

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 6089,8093

Greatest Common Factor of Numerators i.e. GCF of 6089,8093 is 1 .

LCM of Denominators means LCM of 172,1808 as per the given fractions.

LCM of 172,1808 is 77744 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6089,8093

GCF of Fractions 6089/172,8093/1808 is 1/77744

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

Greatest Common Factor of 6089,8093 By Matching Biggest Common Factor Method

Greatest Common Factor of 6089,8093 By Matching Biggest Common Factor Method

Factors of 6089

List of positive integer factors of 6089 that divides 6089 without a remainder.

1,6089

Factors of 8093

List of positive integer factors of 8093 that divides 8093 without a remainder.

1,8093

Greatest Common Factor

We found the factors 6089,8093 . The biggest common factor number is the GCF number.
So the greatest common factor 6089,8093 is 1.

Lets's calculate LCM of 172,1808

2 172, 1808
2 86, 904
43, 452

∴ So the LCM of the given numbers is 2 x 2 x 43 x 452 = 77744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77744

Therefore, the GCF of Fractions 6089/172,8093/1808 is 1/77744

Least Common Multiple of 172,1808 with GCF Formula

Least Common Multiple of 172,1808 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 172,1808 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(172,1808) = 4

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

GCF(172,1808) x common factors =4 x 1 = 4

LCM(172,1808) = ( 172 × 1808 ) / 4

LCM(172,1808) = 310976 / 4

LCM(172,1808) = 77744


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 6089/172, 8093/1808

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 6089/172, 8093/1808?

Answer: GCF of Numerators as per given numbers 6089/172, 8093/1808 is

GCF of Numerators i.e. for 6089,8093 is 1

LCM of denominators i.e. for 172,1808 is 77744.

Thus, GCF of Fractions is 1/77744.Finally, GCF of Fractions for 6089/172, 8093/1808 is 1/77744.