Greatest Common Factor of 9328/587, 8003/7150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9328/587, 8003/7150

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 9328/587,8003/7150

Given fractions are 9328/587,8003/7150

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 9328,8003

Greatest Common Factor of Numerators i.e. GCF of 9328,8003 is 53 .

LCM of Denominators means LCM of 587,7150 as per the given fractions.

LCM of 587,7150 is 4197050 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9328,8003

GCF of Fractions 9328/587,8003/7150 is 53/4197050

53 9328, 8003
176, 151

∴ So the GCF of the given numbers is 53 = 53

Greatest Common Factor of 9328,8003 By Matching Biggest Common Factor Method

Greatest Common Factor of 9328,8003 By Matching Biggest Common Factor Method

Factors of 9328

List of positive integer factors of 9328 that divides 9328 without a remainder.

1,2,4,8,11,16,22,44,53,88,106,176,212,424,583,848,1166,2332,4664,9328

Factors of 8003

List of positive integer factors of 8003 that divides 8003 without a remainder.

1,53,151,8003

Greatest Common Factor

We found the factors 9328,8003 . The biggest common factor number is the GCF number.
So the greatest common factor 9328,8003 is 53.

Lets's calculate LCM of 587,7150

Given numbers has no common factors except 1. So, there LCM is their product i.e 4197050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 53/4197050

Therefore, the GCF of Fractions 9328/587,8003/7150 is 53/4197050

Least Common Multiple of 587,7150 with GCF Formula

Least Common Multiple of 587,7150 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 587,7150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(587,7150) = 1

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

GCF(587,7150) x common factors =1 x 1 = 1

LCM(587,7150) = ( 587 × 7150 ) / 1

LCM(587,7150) = 4197050 / 1

LCM(587,7150) = 4197050


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 9328/587, 8003/7150

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 9328/587, 8003/7150?

Answer: GCF of Numerators as per given numbers 9328/587, 8003/7150 is

GCF of Numerators i.e. for 9328,8003 is 53

LCM of denominators i.e. for 587,7150 is 4197050.

Thus, GCF of Fractions is 53/4197050.Finally, GCF of Fractions for 9328/587, 8003/7150 is 53/4197050.