Greatest Common Factor of 329/7461, 294/8358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 329/7461, 294/8358

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 329/7461,294/8358

Given fractions are 329/7461,294/8358

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 329,294

Greatest Common Factor of Numerators i.e. GCF of 329,294 is 7 .

LCM of Denominators means LCM of 7461,8358 as per the given fractions.

LCM of 7461,8358 is 20786346 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 329,294

GCF of Fractions 329/7461,294/8358 is 7/20786346

7 329, 294
47, 42

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

Greatest Common Factor of 329,294 By Matching Biggest Common Factor Method

Greatest Common Factor of 329,294 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 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Greatest Common Factor

We found the factors 329,294 . The biggest common factor number is the GCF number.
So the greatest common factor 329,294 is 7.

Lets's calculate LCM of 7461,8358

3 7461, 8358
2487, 2786

∴ So the LCM of the given numbers is 3 x 2487 x 2786 = 20786346

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/20786346

Therefore, the GCF of Fractions 329/7461,294/8358 is 7/20786346

Least Common Multiple of 7461,8358 with GCF Formula

Least Common Multiple of 7461,8358 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 7461,8358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7461,8358) = 3

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

GCF(7461,8358) x common factors =3 x 1 = 3

LCM(7461,8358) = ( 7461 × 8358 ) / 3

LCM(7461,8358) = 62359038 / 3

LCM(7461,8358) = 20786346


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 329/7461, 294/8358

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 329/7461, 294/8358?

Answer: GCF of Numerators as per given numbers 329/7461, 294/8358 is

GCF of Numerators i.e. for 329,294 is 7

LCM of denominators i.e. for 7461,8358 is 20786346.

Thus, GCF of Fractions is 7/20786346.Finally, GCF of Fractions for 329/7461, 294/8358 is 7/20786346.