Greatest Common Factor of 343/334, 6573/244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 343/334, 6573/244

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 343/334,6573/244

Given fractions are 343/334,6573/244

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 343,6573

Greatest Common Factor of Numerators i.e. GCF of 343,6573 is 7 .

LCM of Denominators means LCM of 334,244 as per the given fractions.

LCM of 334,244 is 40748 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 343,6573

GCF of Fractions 343/334,6573/244 is 7/40748

7 343, 6573
49, 939

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 343,6573 By Matching Biggest Common Factor Method

Greatest Common Factor of 343,6573 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 6573

List of positive integer factors of 6573 that divides 6573 without a remainder.

1,3,7,21,313,939,2191,6573

Greatest Common Factor

We found the factors 343,6573 . The biggest common factor number is the GCF number.
So the greatest common factor 343,6573 is 7.


Lets's calculate LCM of 334,244

2 334, 244
167, 122

∴ So the LCM of the given numbers is 2 x 167 x 122 = 40748

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/40748

Therefore, the GCF of Fractions 343/334,6573/244 is 7/40748

Least Common Multiple of 334,244 with GCF Formula

Least Common Multiple of 334,244 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 334,244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,244) = 2

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

GCF(334,244) x common factors =2 x 1 = 2

LCM(334,244) = ( 334 × 244 ) / 2

LCM(334,244) = 81496 / 2

LCM(334,244) = 40748


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 343/334, 6573/244

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 343/334, 6573/244?

Answer: GCF of Numerators as per given numbers 343/334, 6573/244 is

GCF of Numerators i.e. for 343,6573 is 7

LCM of denominators i.e. for 334,244 is 40748.

Thus, GCF of Fractions is 7/40748.Finally, GCF of Fractions for 343/334, 6573/244 is 7/40748.