Greatest Common Factor of 329/6134, 709/8092

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 329/6134, 709/8092

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 329/6134,709/8092

Given fractions are 329/6134,709/8092

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 329,709

Greatest Common Factor of Numerators i.e. GCF of 329,709 is 1 .

LCM of Denominators means LCM of 6134,8092 as per the given fractions.

LCM of 6134,8092 is 24818164 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 329,709

GCF of Fractions 329/6134,709/8092 is 1/24818164

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

Greatest Common Factor of 329,709 By Matching Biggest Common Factor Method

Greatest Common Factor of 329,709 By Matching Biggest Common Factor Method

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Factors of 709

List of positive integer factors of 709 that divides 709 without a remainder.

1,709

Greatest Common Factor

We found the factors 329,709 . The biggest common factor number is the GCF number.
So the greatest common factor 329,709 is 1.

Lets's calculate LCM of 6134,8092

2 6134, 8092
3067, 4046

∴ So the LCM of the given numbers is 2 x 3067 x 4046 = 24818164

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24818164

Therefore, the GCF of Fractions 329/6134,709/8092 is 1/24818164

Least Common Multiple of 6134,8092 with GCF Formula

Least Common Multiple of 6134,8092 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 6134,8092 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6134,8092) = 2

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

GCF(6134,8092) x common factors =2 x 1 = 2

LCM(6134,8092) = ( 6134 × 8092 ) / 2

LCM(6134,8092) = 49636328 / 2

LCM(6134,8092) = 24818164


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 329/6134, 709/8092

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 329/6134, 709/8092?

Answer: GCF of Numerators as per given numbers 329/6134, 709/8092 is

GCF of Numerators i.e. for 329,709 is 1

LCM of denominators i.e. for 6134,8092 is 24818164.

Thus, GCF of Fractions is 1/24818164.Finally, GCF of Fractions for 329/6134, 709/8092 is 1/24818164.