Greatest Common Factor of 8321/44, 7584/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8321/44, 7584/500

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 8321/44,7584/500

Given fractions are 8321/44,7584/500

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 8321,7584

Greatest Common Factor of Numerators i.e. GCF of 8321,7584 is 1 .

LCM of Denominators means LCM of 44,500 as per the given fractions.

LCM of 44,500 is 5500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8321,7584

GCF of Fractions 8321/44,7584/500 is 1/5500

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

Greatest Common Factor of 8321,7584 By Matching Biggest Common Factor Method

Greatest Common Factor of 8321,7584 By Matching Biggest Common Factor Method

Factors of 8321

List of positive integer factors of 8321 that divides 8321 without a remainder.

1,53,157,8321

Factors of 7584

List of positive integer factors of 7584 that divides 7584 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,79,96,158,237,316,474,632,948,1264,1896,2528,3792,7584

Greatest Common Factor

We found the factors 8321,7584 . The biggest common factor number is the GCF number.
So the greatest common factor 8321,7584 is 1.

Lets's calculate LCM of 44,500

2 44, 500
2 22, 250
11, 125

∴ So the LCM of the given numbers is 2 x 2 x 11 x 125 = 5500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5500

Therefore, the GCF of Fractions 8321/44,7584/500 is 1/5500

Least Common Multiple of 44,500 with GCF Formula

Least Common Multiple of 44,500 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 44,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,500) = 4

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

GCF(44,500) x common factors =4 x 1 = 4

LCM(44,500) = ( 44 × 500 ) / 4

LCM(44,500) = 22000 / 4

LCM(44,500) = 5500


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 8321/44, 7584/500

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 8321/44, 7584/500?

Answer: GCF of Numerators as per given numbers 8321/44, 7584/500 is

GCF of Numerators i.e. for 8321,7584 is 1

LCM of denominators i.e. for 44,500 is 5500.

Thus, GCF of Fractions is 1/5500.Finally, GCF of Fractions for 8321/44, 7584/500 is 1/5500.