Greatest Common Factor of 321/338, 492/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 321/338, 492/748

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 321/338,492/748

Given fractions are 321/338,492/748

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 321,492

Greatest Common Factor of Numerators i.e. GCF of 321,492 is 3 .

LCM of Denominators means LCM of 338,748 as per the given fractions.

LCM of 338,748 is 126412 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 321,492

GCF of Fractions 321/338,492/748 is 3/126412

3 321, 492
107, 164

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 321,492 By Matching Biggest Common Factor Method

Greatest Common Factor of 321,492 By Matching Biggest Common Factor Method

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Greatest Common Factor

We found the factors 321,492 . The biggest common factor number is the GCF number.
So the greatest common factor 321,492 is 3.

Lets's calculate LCM of 338,748

2 338, 748
169, 374

∴ So the LCM of the given numbers is 2 x 169 x 374 = 126412

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/126412

Therefore, the GCF of Fractions 321/338,492/748 is 3/126412

Least Common Multiple of 338,748 with GCF Formula

Least Common Multiple of 338,748 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 338,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,748) = 2

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

GCF(338,748) x common factors =2 x 1 = 2

LCM(338,748) = ( 338 × 748 ) / 2

LCM(338,748) = 252824 / 2

LCM(338,748) = 126412


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 321/338, 492/748

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 321/338, 492/748?

Answer: GCF of Numerators as per given numbers 321/338, 492/748 is

GCF of Numerators i.e. for 321,492 is 3

LCM of denominators i.e. for 338,748 is 126412.

Thus, GCF of Fractions is 3/126412.Finally, GCF of Fractions for 321/338, 492/748 is 3/126412.