Greatest Common Factor of 321/36, 105/73, 748/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 321/36, 105/73, 748/294

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 321/36,105/73,748/294

Given fractions are 321/36,105/73,748/294

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 321,105,748

Greatest Common Factor of Numerators i.e. GCF of 321,105,748 is 1 .

LCM of Denominators means LCM of 36,73,294 as per the given fractions.

LCM of 36,73,294 is 128772 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 321,105,748

GCF of Fractions 321/36,105/73,748/294 is 1/128772

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

Greatest Common Factor of 321,105,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 321,105,748 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 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 321,105,748 . The biggest common factor number is the GCF number.
So the greatest common factor 321,105,748 is 1.

Lets's calculate LCM of 36,73,294

2 36, 73, 294
3 18, 73, 147
6, 73, 49

∴ So the LCM of the given numbers is 2 x 3 x 6 x 73 x 49 = 128772

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128772

Therefore, the GCF of Fractions 321/36,105/73,748/294 is 1/128772

Least Common Multiple of 36,73,294 with GCF Formula

Least Common Multiple of 36,73,294 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 36,73,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,73,294) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(36,73,294) x common factors =1 x 6 = 6

LCM(36,73,294) = ( 36 × 73 × 294 ) / 6

LCM(36,73,294) = 772632 / 6

LCM(36,73,294) = 128772


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 321/36, 105/73, 748/294

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 321/36, 105/73, 748/294?

Answer: GCF of Numerators as per given numbers 321/36, 105/73, 748/294 is

GCF of Numerators i.e. for 321,105,748 is 1

LCM of denominators i.e. for 36,73,294 is 128772.

Thus, GCF of Fractions is 1/128772.Finally, GCF of Fractions for 321/36, 105/73, 748/294 is 1/128772.