Greatest Common Factor of 4459/723, 5839/2684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4459/723, 5839/2684

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 4459/723,5839/2684

Given fractions are 4459/723,5839/2684

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 4459,5839

Greatest Common Factor of Numerators i.e. GCF of 4459,5839 is 1 .

LCM of Denominators means LCM of 723,2684 as per the given fractions.

LCM of 723,2684 is 1940532 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4459,5839

GCF of Fractions 4459/723,5839/2684 is 1/1940532

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

Greatest Common Factor of 4459,5839 By Matching Biggest Common Factor Method

Greatest Common Factor of 4459,5839 By Matching Biggest Common Factor Method

Factors of 4459

List of positive integer factors of 4459 that divides 4459 without a remainder.

1,7,13,49,91,343,637,4459

Factors of 5839

List of positive integer factors of 5839 that divides 5839 without a remainder.

1,5839

Greatest Common Factor

We found the factors 4459,5839 . The biggest common factor number is the GCF number.
So the greatest common factor 4459,5839 is 1.

Lets's calculate LCM of 723,2684

Given numbers has no common factors except 1. So, there LCM is their product i.e 1940532

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1940532

Therefore, the GCF of Fractions 4459/723,5839/2684 is 1/1940532

Least Common Multiple of 723,2684 with GCF Formula

Least Common Multiple of 723,2684 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 723,2684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,2684) = 1

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

GCF(723,2684) x common factors =1 x 1 = 1

LCM(723,2684) = ( 723 × 2684 ) / 1

LCM(723,2684) = 1940532 / 1

LCM(723,2684) = 1940532


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 4459/723, 5839/2684

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 4459/723, 5839/2684?

Answer: GCF of Numerators as per given numbers 4459/723, 5839/2684 is

GCF of Numerators i.e. for 4459,5839 is 1

LCM of denominators i.e. for 723,2684 is 1940532.

Thus, GCF of Fractions is 1/1940532.Finally, GCF of Fractions for 4459/723, 5839/2684 is 1/1940532.