Greatest Common Factor of 334/826, 8579/348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 334/826, 8579/348

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 334/826,8579/348

Given fractions are 334/826,8579/348

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 334,8579

Greatest Common Factor of Numerators i.e. GCF of 334,8579 is 1 .

LCM of Denominators means LCM of 826,348 as per the given fractions.

LCM of 826,348 is 143724 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 334,8579

GCF of Fractions 334/826,8579/348 is 1/143724

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

Greatest Common Factor of 334,8579 By Matching Biggest Common Factor Method

Greatest Common Factor of 334,8579 By Matching Biggest Common Factor Method

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Factors of 8579

List of positive integer factors of 8579 that divides 8579 without a remainder.

1,23,373,8579

Greatest Common Factor

We found the factors 334,8579 . The biggest common factor number is the GCF number.
So the greatest common factor 334,8579 is 1.

Lets's calculate LCM of 826,348

2 826, 348
413, 174

∴ So the LCM of the given numbers is 2 x 413 x 174 = 143724

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/143724

Therefore, the GCF of Fractions 334/826,8579/348 is 1/143724

Least Common Multiple of 826,348 with GCF Formula

Least Common Multiple of 826,348 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 826,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(826,348) = 2

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

GCF(826,348) x common factors =2 x 1 = 2

LCM(826,348) = ( 826 × 348 ) / 2

LCM(826,348) = 287448 / 2

LCM(826,348) = 143724


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 334/826, 8579/348

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 334/826, 8579/348?

Answer: GCF of Numerators as per given numbers 334/826, 8579/348 is

GCF of Numerators i.e. for 334,8579 is 1

LCM of denominators i.e. for 826,348 is 143724.

Thus, GCF of Fractions is 1/143724.Finally, GCF of Fractions for 334/826, 8579/348 is 1/143724.