Greatest Common Factor of 328/22, 664/54, 321/71

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 328/22, 664/54, 321/71

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 328/22,664/54,321/71

Given fractions are 328/22,664/54,321/71

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 328,664,321

Greatest Common Factor of Numerators i.e. GCF of 328,664,321 is 1 .

LCM of Denominators means LCM of 22,54,71 as per the given fractions.

LCM of 22,54,71 is 42174 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 328,664,321

GCF of Fractions 328/22,664/54,321/71 is 1/42174

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

Greatest Common Factor of 328,664,321 By Matching Biggest Common Factor Method

Greatest Common Factor of 328,664,321 By Matching Biggest Common Factor Method

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Factors of 321

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

1,3,107,321

Greatest Common Factor

We found the factors 328,664,321 . The biggest common factor number is the GCF number.
So the greatest common factor 328,664,321 is 1.

Lets's calculate LCM of 22,54,71

2 22, 54, 71
11, 27, 71

∴ So the LCM of the given numbers is 2 x 11 x 27 x 71 = 42174

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42174

Therefore, the GCF of Fractions 328/22,664/54,321/71 is 1/42174

Least Common Multiple of 22,54,71 with GCF Formula

Least Common Multiple of 22,54,71 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 22,54,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,54,71) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(22,54,71) x common factors =1 x 2 = 2

LCM(22,54,71) = ( 22 × 54 × 71 ) / 2

LCM(22,54,71) = 84348 / 2

LCM(22,54,71) = 42174


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 328/22, 664/54, 321/71

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 328/22, 664/54, 321/71?

Answer: GCF of Numerators as per given numbers 328/22, 664/54, 321/71 is

GCF of Numerators i.e. for 328,664,321 is 1

LCM of denominators i.e. for 22,54,71 is 42174.

Thus, GCF of Fractions is 1/42174.Finally, GCF of Fractions for 328/22, 664/54, 321/71 is 1/42174.