Greatest Common Factor of 2341/894, 5164/8389

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2341/894, 5164/8389

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 2341/894,5164/8389

Given fractions are 2341/894,5164/8389

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 2341,5164

Greatest Common Factor of Numerators i.e. GCF of 2341,5164 is 1 .

LCM of Denominators means LCM of 894,8389 as per the given fractions.

LCM of 894,8389 is 7499766 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2341,5164

GCF of Fractions 2341/894,5164/8389 is 1/7499766

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

Greatest Common Factor of 2341,5164 By Matching Biggest Common Factor Method

Greatest Common Factor of 2341,5164 By Matching Biggest Common Factor Method

Factors of 2341

List of positive integer factors of 2341 that divides 2341 without a remainder.

1,2341

Factors of 5164

List of positive integer factors of 5164 that divides 5164 without a remainder.

1,2,4,1291,2582,5164

Greatest Common Factor

We found the factors 2341,5164 . The biggest common factor number is the GCF number.
So the greatest common factor 2341,5164 is 1.

Lets's calculate LCM of 894,8389

Given numbers has no common factors except 1. So, there LCM is their product i.e 7499766

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7499766

Therefore, the GCF of Fractions 2341/894,5164/8389 is 1/7499766

Least Common Multiple of 894,8389 with GCF Formula

Least Common Multiple of 894,8389 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 894,8389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(894,8389) = 1

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

GCF(894,8389) x common factors =1 x 1 = 1

LCM(894,8389) = ( 894 × 8389 ) / 1

LCM(894,8389) = 7499766 / 1

LCM(894,8389) = 7499766


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 2341/894, 5164/8389

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 2341/894, 5164/8389?

Answer: GCF of Numerators as per given numbers 2341/894, 5164/8389 is

GCF of Numerators i.e. for 2341,5164 is 1

LCM of denominators i.e. for 894,8389 is 7499766.

Thus, GCF of Fractions is 1/7499766.Finally, GCF of Fractions for 2341/894, 5164/8389 is 1/7499766.