Greatest Common Factor of 5/29, 79/96, 55/958, 324/563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/29, 79/96, 55/958, 324/563

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 5/29,79/96,55/958,324/563

Given fractions are 5/29,79/96,55/958,324/563

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 5,79,55,324

Greatest Common Factor of Numerators i.e. GCF of 5,79,55,324 is 1 .

LCM of Denominators means LCM of 29,96,958,563 as per the given fractions.

LCM of 29,96,958,563 is 750780768 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,79,55,324

GCF of Fractions 5/29,79/96,55/958,324/563 is 1/750780768

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

Greatest Common Factor of 5,79,55,324 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,79,55,324 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Greatest Common Factor

We found the factors 5,79,55,324 . The biggest common factor number is the GCF number.
So the greatest common factor 5,79,55,324 is 1.

Lets's calculate LCM of 29,96,958,563

2 29, 96, 958, 563
29, 48, 479, 563

∴ So the LCM of the given numbers is 2 x 29 x 48 x 479 x 563 = 750780768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/750780768

Therefore, the GCF of Fractions 5/29,79/96,55/958,324/563 is 1/750780768

Least Common Multiple of 29,96,958,563 with GCF Formula

Least Common Multiple of 29,96,958,563 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 29,96,958,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,96,958,563) = 1

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

GCF(29,96,958,563) x common factors =1 x 2 = 2

LCM(29,96,958,563) = ( 29 × 96 × 958 × 563 ) / 2

LCM(29,96,958,563) = 1501561536 / 2

LCM(29,96,958,563) = 750780768


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 5/29, 79/96, 55/958, 324/563

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 5/29, 79/96, 55/958, 324/563?

Answer: GCF of Numerators as per given numbers 5/29, 79/96, 55/958, 324/563 is

GCF of Numerators i.e. for 5,79,55,324 is 1

LCM of denominators i.e. for 29,96,958,563 is 750780768.

Thus, GCF of Fractions is 1/750780768.Finally, GCF of Fractions for 5/29, 79/96, 55/958, 324/563 is 1/750780768.