Greatest Common Factor of 5/32, 39/73, 75/532, 963/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/32, 39/73, 75/532, 963/923

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 5/32,39/73,75/532,963/923

Given fractions are 5/32,39/73,75/532,963/923

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 5,39,75,963

Greatest Common Factor of Numerators i.e. GCF of 5,39,75,963 is 1 .

LCM of Denominators means LCM of 32,73,532,923 as per the given fractions.

LCM of 32,73,532,923 is 286765024 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,39,75,963

GCF of Fractions 5/32,39/73,75/532,963/923 is 1/286765024

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

Greatest Common Factor of 5,39,75,963 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,39,75,963 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 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Greatest Common Factor

We found the factors 5,39,75,963 . The biggest common factor number is the GCF number.
So the greatest common factor 5,39,75,963 is 1.

Lets's calculate LCM of 32,73,532,923

2 32, 73, 532, 923
2 16, 73, 266, 923
8, 73, 133, 923

∴ So the LCM of the given numbers is 2 x 2 x 8 x 73 x 133 x 923 = 286765024

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/286765024

Therefore, the GCF of Fractions 5/32,39/73,75/532,963/923 is 1/286765024

Least Common Multiple of 32,73,532,923 with GCF Formula

Least Common Multiple of 32,73,532,923 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 32,73,532,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,73,532,923) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(32,73,532,923) x common factors =1 x 4 = 4

LCM(32,73,532,923) = ( 32 × 73 × 532 × 923 ) / 4

LCM(32,73,532,923) = 1147060096 / 4

LCM(32,73,532,923) = 286765024


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 5/32, 39/73, 75/532, 963/923

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 5/32, 39/73, 75/532, 963/923?

Answer: GCF of Numerators as per given numbers 5/32, 39/73, 75/532, 963/923 is

GCF of Numerators i.e. for 5,39,75,963 is 1

LCM of denominators i.e. for 32,73,532,923 is 286765024.

Thus, GCF of Fractions is 1/286765024.Finally, GCF of Fractions for 5/32, 39/73, 75/532, 963/923 is 1/286765024.