Greatest Common Factor of 8598/343, 3389/3627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8598/343, 3389/3627

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 8598/343,3389/3627

Given fractions are 8598/343,3389/3627

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 8598,3389

Greatest Common Factor of Numerators i.e. GCF of 8598,3389 is 1 .

LCM of Denominators means LCM of 343,3627 as per the given fractions.

LCM of 343,3627 is 1244061 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8598,3389

GCF of Fractions 8598/343,3389/3627 is 1/1244061

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

Greatest Common Factor of 8598,3389 By Matching Biggest Common Factor Method

Greatest Common Factor of 8598,3389 By Matching Biggest Common Factor Method

Factors of 8598

List of positive integer factors of 8598 that divides 8598 without a remainder.

1,2,3,6,1433,2866,4299,8598

Factors of 3389

List of positive integer factors of 3389 that divides 3389 without a remainder.

1,3389

Greatest Common Factor

We found the factors 8598,3389 . The biggest common factor number is the GCF number.
So the greatest common factor 8598,3389 is 1.

Lets's calculate LCM of 343,3627

Given numbers has no common factors except 1. So, there LCM is their product i.e 1244061

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1244061

Therefore, the GCF of Fractions 8598/343,3389/3627 is 1/1244061

Least Common Multiple of 343,3627 with GCF Formula

Least Common Multiple of 343,3627 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 343,3627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(343,3627) = 1

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

GCF(343,3627) x common factors =1 x 1 = 1

LCM(343,3627) = ( 343 × 3627 ) / 1

LCM(343,3627) = 1244061 / 1

LCM(343,3627) = 1244061


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 8598/343, 3389/3627

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 8598/343, 3389/3627?

Answer: GCF of Numerators as per given numbers 8598/343, 3389/3627 is

GCF of Numerators i.e. for 8598,3389 is 1

LCM of denominators i.e. for 343,3627 is 1244061.

Thus, GCF of Fractions is 1/1244061.Finally, GCF of Fractions for 8598/343, 3389/3627 is 1/1244061.