Greatest Common Factor of 5684/44, 2365/331

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5684/44, 2365/331

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 5684/44,2365/331

Given fractions are 5684/44,2365/331

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 5684,2365

Greatest Common Factor of Numerators i.e. GCF of 5684,2365 is 1 .

LCM of Denominators means LCM of 44,331 as per the given fractions.

LCM of 44,331 is 14564 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5684,2365

GCF of Fractions 5684/44,2365/331 is 1/14564

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

Greatest Common Factor of 5684,2365 By Matching Biggest Common Factor Method

Greatest Common Factor of 5684,2365 By Matching Biggest Common Factor Method

Factors of 5684

List of positive integer factors of 5684 that divides 5684 without a remainder.

1,2,4,7,14,28,29,49,58,98,116,196,203,406,812,1421,2842,5684

Factors of 2365

List of positive integer factors of 2365 that divides 2365 without a remainder.

1,5,11,43,55,215,473,2365

Greatest Common Factor

We found the factors 5684,2365 . The biggest common factor number is the GCF number.
So the greatest common factor 5684,2365 is 1.

Lets's calculate LCM of 44,331

Given numbers has no common factors except 1. So, there LCM is their product i.e 14564

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14564

Therefore, the GCF of Fractions 5684/44,2365/331 is 1/14564

Least Common Multiple of 44,331 with GCF Formula

Least Common Multiple of 44,331 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 44,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,331) = 1

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

GCF(44,331) x common factors =1 x 1 = 1

LCM(44,331) = ( 44 × 331 ) / 1

LCM(44,331) = 14564 / 1

LCM(44,331) = 14564


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 5684/44, 2365/331

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 5684/44, 2365/331?

Answer: GCF of Numerators as per given numbers 5684/44, 2365/331 is

GCF of Numerators i.e. for 5684,2365 is 1

LCM of denominators i.e. for 44,331 is 14564.

Thus, GCF of Fractions is 1/14564.Finally, GCF of Fractions for 5684/44, 2365/331 is 1/14564.