Greatest Common Factor of 9089/798, 1578/5080

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9089/798, 1578/5080

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 9089/798,1578/5080

Given fractions are 9089/798,1578/5080

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 9089,1578

Greatest Common Factor of Numerators i.e. GCF of 9089,1578 is 1 .

LCM of Denominators means LCM of 798,5080 as per the given fractions.

LCM of 798,5080 is 2026920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9089,1578

GCF of Fractions 9089/798,1578/5080 is 1/2026920

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

Greatest Common Factor of 9089,1578 By Matching Biggest Common Factor Method

Greatest Common Factor of 9089,1578 By Matching Biggest Common Factor Method

Factors of 9089

List of positive integer factors of 9089 that divides 9089 without a remainder.

1,61,149,9089

Factors of 1578

List of positive integer factors of 1578 that divides 1578 without a remainder.

1,2,3,6,263,526,789,1578

Greatest Common Factor

We found the factors 9089,1578 . The biggest common factor number is the GCF number.
So the greatest common factor 9089,1578 is 1.

Lets's calculate LCM of 798,5080

2 798, 5080
399, 2540

∴ So the LCM of the given numbers is 2 x 399 x 2540 = 2026920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2026920

Therefore, the GCF of Fractions 9089/798,1578/5080 is 1/2026920

Least Common Multiple of 798,5080 with GCF Formula

Least Common Multiple of 798,5080 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 798,5080 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(798,5080) = 2

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

GCF(798,5080) x common factors =2 x 1 = 2

LCM(798,5080) = ( 798 × 5080 ) / 2

LCM(798,5080) = 4053840 / 2

LCM(798,5080) = 2026920


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 9089/798, 1578/5080

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 9089/798, 1578/5080?

Answer: GCF of Numerators as per given numbers 9089/798, 1578/5080 is

GCF of Numerators i.e. for 9089,1578 is 1

LCM of denominators i.e. for 798,5080 is 2026920.

Thus, GCF of Fractions is 1/2026920.Finally, GCF of Fractions for 9089/798, 1578/5080 is 1/2026920.