Greatest Common Factor of 4588/343, 7343/5436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4588/343, 7343/5436

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 4588/343,7343/5436

Given fractions are 4588/343,7343/5436

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 4588,7343

Greatest Common Factor of Numerators i.e. GCF of 4588,7343 is 1 .

LCM of Denominators means LCM of 343,5436 as per the given fractions.

LCM of 343,5436 is 1864548 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4588,7343

GCF of Fractions 4588/343,7343/5436 is 1/1864548

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

Greatest Common Factor of 4588,7343 By Matching Biggest Common Factor Method

Greatest Common Factor of 4588,7343 By Matching Biggest Common Factor Method

Factors of 4588

List of positive integer factors of 4588 that divides 4588 without a remainder.

1,2,4,31,37,62,74,124,148,1147,2294,4588

Factors of 7343

List of positive integer factors of 7343 that divides 7343 without a remainder.

1,7,1049,7343

Greatest Common Factor

We found the factors 4588,7343 . The biggest common factor number is the GCF number.
So the greatest common factor 4588,7343 is 1.

Lets's calculate LCM of 343,5436

Given numbers has no common factors except 1. So, there LCM is their product i.e 1864548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1864548

Therefore, the GCF of Fractions 4588/343,7343/5436 is 1/1864548

Least Common Multiple of 343,5436 with GCF Formula

Least Common Multiple of 343,5436 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 343,5436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(343,5436) = 1

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

GCF(343,5436) x common factors =1 x 1 = 1

LCM(343,5436) = ( 343 × 5436 ) / 1

LCM(343,5436) = 1864548 / 1

LCM(343,5436) = 1864548


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 4588/343, 7343/5436

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 4588/343, 7343/5436?

Answer: GCF of Numerators as per given numbers 4588/343, 7343/5436 is

GCF of Numerators i.e. for 4588,7343 is 1

LCM of denominators i.e. for 343,5436 is 1864548.

Thus, GCF of Fractions is 1/1864548.Finally, GCF of Fractions for 4588/343, 7343/5436 is 1/1864548.