Greatest Common Factor of 5783/964, 7322/5089

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5783/964, 7322/5089

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 5783/964,7322/5089

Given fractions are 5783/964,7322/5089

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 5783,7322

Greatest Common Factor of Numerators i.e. GCF of 5783,7322 is 1 .

LCM of Denominators means LCM of 964,5089 as per the given fractions.

LCM of 964,5089 is 4905796 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5783,7322

GCF of Fractions 5783/964,7322/5089 is 1/4905796

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

Greatest Common Factor of 5783,7322 By Matching Biggest Common Factor Method

Greatest Common Factor of 5783,7322 By Matching Biggest Common Factor Method

Factors of 5783

List of positive integer factors of 5783 that divides 5783 without a remainder.

1,5783

Factors of 7322

List of positive integer factors of 7322 that divides 7322 without a remainder.

1,2,7,14,523,1046,3661,7322

Greatest Common Factor

We found the factors 5783,7322 . The biggest common factor number is the GCF number.
So the greatest common factor 5783,7322 is 1.

Lets's calculate LCM of 964,5089

Given numbers has no common factors except 1. So, there LCM is their product i.e 4905796

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4905796

Therefore, the GCF of Fractions 5783/964,7322/5089 is 1/4905796

Least Common Multiple of 964,5089 with GCF Formula

Least Common Multiple of 964,5089 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 964,5089 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(964,5089) = 1

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

GCF(964,5089) x common factors =1 x 1 = 1

LCM(964,5089) = ( 964 × 5089 ) / 1

LCM(964,5089) = 4905796 / 1

LCM(964,5089) = 4905796


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 5783/964, 7322/5089

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 5783/964, 7322/5089?

Answer: GCF of Numerators as per given numbers 5783/964, 7322/5089 is

GCF of Numerators i.e. for 5783,7322 is 1

LCM of denominators i.e. for 964,5089 is 4905796.

Thus, GCF of Fractions is 1/4905796.Finally, GCF of Fractions for 5783/964, 7322/5089 is 1/4905796.