Greatest Common Factor of 343/209, 8434/259

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 343/209, 8434/259

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 343/209,8434/259

Given fractions are 343/209,8434/259

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 343,8434

Greatest Common Factor of Numerators i.e. GCF of 343,8434 is 1 .

LCM of Denominators means LCM of 209,259 as per the given fractions.

LCM of 209,259 is 54131 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 343,8434

GCF of Fractions 343/209,8434/259 is 1/54131

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

Greatest Common Factor of 343,8434 By Matching Biggest Common Factor Method

Greatest Common Factor of 343,8434 By Matching Biggest Common Factor Method

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Factors of 8434

List of positive integer factors of 8434 that divides 8434 without a remainder.

1,2,4217,8434

Greatest Common Factor

We found the factors 343,8434 . The biggest common factor number is the GCF number.
So the greatest common factor 343,8434 is 1.

Lets's calculate LCM of 209,259

Given numbers has no common factors except 1. So, there LCM is their product i.e 54131

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54131

Therefore, the GCF of Fractions 343/209,8434/259 is 1/54131

Least Common Multiple of 209,259 with GCF Formula

Least Common Multiple of 209,259 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 209,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(209,259) = 1

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

GCF(209,259) x common factors =1 x 1 = 1

LCM(209,259) = ( 209 × 259 ) / 1

LCM(209,259) = 54131 / 1

LCM(209,259) = 54131


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 343/209, 8434/259

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 343/209, 8434/259?

Answer: GCF of Numerators as per given numbers 343/209, 8434/259 is

GCF of Numerators i.e. for 343,8434 is 1

LCM of denominators i.e. for 209,259 is 54131.

Thus, GCF of Fractions is 1/54131.Finally, GCF of Fractions for 343/209, 8434/259 is 1/54131.