Greatest Common Factor of 8040/424, 9023/8060

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8040/424, 9023/8060

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 8040/424,9023/8060

Given fractions are 8040/424,9023/8060

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 8040,9023

Greatest Common Factor of Numerators i.e. GCF of 8040,9023 is 1 .

LCM of Denominators means LCM of 424,8060 as per the given fractions.

LCM of 424,8060 is 854360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8040,9023

GCF of Fractions 8040/424,9023/8060 is 1/854360

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

Greatest Common Factor of 8040,9023 By Matching Biggest Common Factor Method

Greatest Common Factor of 8040,9023 By Matching Biggest Common Factor Method

Factors of 8040

List of positive integer factors of 8040 that divides 8040 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,67,120,134,201,268,335,402,536,670,804,1005,1340,1608,2010,2680,4020,8040

Factors of 9023

List of positive integer factors of 9023 that divides 9023 without a remainder.

1,7,1289,9023

Greatest Common Factor

We found the factors 8040,9023 . The biggest common factor number is the GCF number.
So the greatest common factor 8040,9023 is 1.

Lets's calculate LCM of 424,8060

2 424, 8060
2 212, 4030
106, 2015

∴ So the LCM of the given numbers is 2 x 2 x 106 x 2015 = 854360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/854360

Therefore, the GCF of Fractions 8040/424,9023/8060 is 1/854360

Least Common Multiple of 424,8060 with GCF Formula

Least Common Multiple of 424,8060 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 424,8060 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(424,8060) = 4

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

GCF(424,8060) x common factors =4 x 1 = 4

LCM(424,8060) = ( 424 × 8060 ) / 4

LCM(424,8060) = 3417440 / 4

LCM(424,8060) = 854360


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 8040/424, 9023/8060

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 8040/424, 9023/8060?

Answer: GCF of Numerators as per given numbers 8040/424, 9023/8060 is

GCF of Numerators i.e. for 8040,9023 is 1

LCM of denominators i.e. for 424,8060 is 854360.

Thus, GCF of Fractions is 1/854360.Finally, GCF of Fractions for 8040/424, 9023/8060 is 1/854360.