Greatest Common Factor of 8117/30, 9024/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8117/30, 9024/524

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 8117/30,9024/524

Given fractions are 8117/30,9024/524

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 8117,9024

Greatest Common Factor of Numerators i.e. GCF of 8117,9024 is 1 .

LCM of Denominators means LCM of 30,524 as per the given fractions.

LCM of 30,524 is 7860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8117,9024

GCF of Fractions 8117/30,9024/524 is 1/7860

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

Greatest Common Factor of 8117,9024 By Matching Biggest Common Factor Method

Greatest Common Factor of 8117,9024 By Matching Biggest Common Factor Method

Factors of 8117

List of positive integer factors of 8117 that divides 8117 without a remainder.

1,8117

Factors of 9024

List of positive integer factors of 9024 that divides 9024 without a remainder.

1,2,3,4,6,8,12,16,24,32,47,48,64,94,96,141,188,192,282,376,564,752,1128,1504,2256,3008,4512,9024

Greatest Common Factor

We found the factors 8117,9024 . The biggest common factor number is the GCF number.
So the greatest common factor 8117,9024 is 1.

Lets's calculate LCM of 30,524

2 30, 524
15, 262

∴ So the LCM of the given numbers is 2 x 15 x 262 = 7860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7860

Therefore, the GCF of Fractions 8117/30,9024/524 is 1/7860

Least Common Multiple of 30,524 with GCF Formula

Least Common Multiple of 30,524 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 30,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,524) = 2

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

GCF(30,524) x common factors =2 x 1 = 2

LCM(30,524) = ( 30 × 524 ) / 2

LCM(30,524) = 15720 / 2

LCM(30,524) = 7860


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 8117/30, 9024/524

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 8117/30, 9024/524?

Answer: GCF of Numerators as per given numbers 8117/30, 9024/524 is

GCF of Numerators i.e. for 8117,9024 is 1

LCM of denominators i.e. for 30,524 is 7860.

Thus, GCF of Fractions is 1/7860.Finally, GCF of Fractions for 8117/30, 9024/524 is 1/7860.