Greatest Common Factor of 8576/733, 7438/7084

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8576/733, 7438/7084

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 8576/733,7438/7084

Given fractions are 8576/733,7438/7084

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 8576,7438

Greatest Common Factor of Numerators i.e. GCF of 8576,7438 is 2 .

LCM of Denominators means LCM of 733,7084 as per the given fractions.

LCM of 733,7084 is 5192572 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8576,7438

GCF of Fractions 8576/733,7438/7084 is 2/5192572

2 8576, 7438
4288, 3719

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8576,7438 By Matching Biggest Common Factor Method

Greatest Common Factor of 8576,7438 By Matching Biggest Common Factor Method

Factors of 8576

List of positive integer factors of 8576 that divides 8576 without a remainder.

1,2,4,8,16,32,64,67,128,134,268,536,1072,2144,4288,8576

Factors of 7438

List of positive integer factors of 7438 that divides 7438 without a remainder.

1,2,3719,7438

Greatest Common Factor

We found the factors 8576,7438 . The biggest common factor number is the GCF number.
So the greatest common factor 8576,7438 is 2.

Lets's calculate LCM of 733,7084

Given numbers has no common factors except 1. So, there LCM is their product i.e 5192572

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5192572

Therefore, the GCF of Fractions 8576/733,7438/7084 is 2/5192572

Least Common Multiple of 733,7084 with GCF Formula

Least Common Multiple of 733,7084 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 733,7084 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(733,7084) = 1

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

GCF(733,7084) x common factors =1 x 1 = 1

LCM(733,7084) = ( 733 × 7084 ) / 1

LCM(733,7084) = 5192572 / 1

LCM(733,7084) = 5192572


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 8576/733, 7438/7084

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 8576/733, 7438/7084?

Answer: GCF of Numerators as per given numbers 8576/733, 7438/7084 is

GCF of Numerators i.e. for 8576,7438 is 2

LCM of denominators i.e. for 733,7084 is 5192572.

Thus, GCF of Fractions is 2/5192572.Finally, GCF of Fractions for 8576/733, 7438/7084 is 2/5192572.