Greatest Common Factor of 96/86, 72/363, 300/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 96/86, 72/363, 300/923

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 96/86,72/363,300/923

Given fractions are 96/86,72/363,300/923

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 96,72,300

Greatest Common Factor of Numerators i.e. GCF of 96,72,300 is 12 .

LCM of Denominators means LCM of 86,363,923 as per the given fractions.

LCM of 86,363,923 is 28814214 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 96,72,300

GCF of Fractions 96/86,72/363,300/923 is 12/28814214

2 96, 72, 300
2 48, 36, 150
3 24, 18, 75
8, 6, 25

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 96,72,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,72,300 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 96,72,300 . The biggest common factor number is the GCF number.
So the greatest common factor 96,72,300 is 12.

Lets's calculate LCM of 86,363,923

Given numbers has no common factors except 1. So, there LCM is their product i.e 28814214

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/28814214

Therefore, the GCF of Fractions 96/86,72/363,300/923 is 12/28814214

Least Common Multiple of 86,363,923 with GCF Formula

Least Common Multiple of 86,363,923 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 86,363,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,363,923) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(86,363,923) x common factors =1 x 1 = 1

LCM(86,363,923) = ( 86 × 363 × 923 ) / 1

LCM(86,363,923) = 28814214 / 1

LCM(86,363,923) = 28814214


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 96/86, 72/363, 300/923

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 96/86, 72/363, 300/923?

Answer: GCF of Numerators as per given numbers 96/86, 72/363, 300/923 is

GCF of Numerators i.e. for 96,72,300 is 12

LCM of denominators i.e. for 86,363,923 is 28814214.

Thus, GCF of Fractions is 12/28814214.Finally, GCF of Fractions for 96/86, 72/363, 300/923 is 12/28814214.