Greatest Common Factor of 328/29, 142/26, 975/592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 328/29, 142/26, 975/592

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 328/29,142/26,975/592

Given fractions are 328/29,142/26,975/592

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 328,142,975

Greatest Common Factor of Numerators i.e. GCF of 328,142,975 is 1 .

LCM of Denominators means LCM of 29,26,592 as per the given fractions.

LCM of 29,26,592 is 223184 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 328,142,975

GCF of Fractions 328/29,142/26,975/592 is 1/223184

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

Greatest Common Factor of 328,142,975 By Matching Biggest Common Factor Method

Greatest Common Factor of 328,142,975 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 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Greatest Common Factor

We found the factors 328,142,975 . The biggest common factor number is the GCF number.
So the greatest common factor 328,142,975 is 1.

Lets's calculate LCM of 29,26,592

2 29, 26, 592
29, 13, 296

∴ So the LCM of the given numbers is 2 x 29 x 13 x 296 = 223184

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/223184

Therefore, the GCF of Fractions 328/29,142/26,975/592 is 1/223184

Least Common Multiple of 29,26,592 with GCF Formula

Least Common Multiple of 29,26,592 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 29,26,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,26,592) = 1

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

GCF(29,26,592) x common factors =1 x 2 = 2

LCM(29,26,592) = ( 29 × 26 × 592 ) / 2

LCM(29,26,592) = 446368 / 2

LCM(29,26,592) = 223184


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 328/29, 142/26, 975/592

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 328/29, 142/26, 975/592?

Answer: GCF of Numerators as per given numbers 328/29, 142/26, 975/592 is

GCF of Numerators i.e. for 328,142,975 is 1

LCM of denominators i.e. for 29,26,592 is 223184.

Thus, GCF of Fractions is 1/223184.Finally, GCF of Fractions for 328/29, 142/26, 975/592 is 1/223184.