Greatest Common Factor of 7083/54, 4573/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7083/54, 4573/960

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 7083/54,4573/960

Given fractions are 7083/54,4573/960

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 7083,4573

Greatest Common Factor of Numerators i.e. GCF of 7083,4573 is 1 .

LCM of Denominators means LCM of 54,960 as per the given fractions.

LCM of 54,960 is 8640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7083,4573

GCF of Fractions 7083/54,4573/960 is 1/8640

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

Greatest Common Factor of 7083,4573 By Matching Biggest Common Factor Method

Greatest Common Factor of 7083,4573 By Matching Biggest Common Factor Method

Factors of 7083

List of positive integer factors of 7083 that divides 7083 without a remainder.

1,3,9,787,2361,7083

Factors of 4573

List of positive integer factors of 4573 that divides 4573 without a remainder.

1,17,269,4573

Greatest Common Factor

We found the factors 7083,4573 . The biggest common factor number is the GCF number.
So the greatest common factor 7083,4573 is 1.

Lets's calculate LCM of 54,960

2 54, 960
3 27, 480
9, 160

∴ So the LCM of the given numbers is 2 x 3 x 9 x 160 = 8640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8640

Therefore, the GCF of Fractions 7083/54,4573/960 is 1/8640

Least Common Multiple of 54,960 with GCF Formula

Least Common Multiple of 54,960 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 54,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,960) = 6

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

GCF(54,960) x common factors =6 x 1 = 6

LCM(54,960) = ( 54 × 960 ) / 6

LCM(54,960) = 51840 / 6

LCM(54,960) = 8640


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 7083/54, 4573/960

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 7083/54, 4573/960?

Answer: GCF of Numerators as per given numbers 7083/54, 4573/960 is

GCF of Numerators i.e. for 7083,4573 is 1

LCM of denominators i.e. for 54,960 is 8640.

Thus, GCF of Fractions is 1/8640.Finally, GCF of Fractions for 7083/54, 4573/960 is 1/8640.