Greatest Common Factor of 300/216, 7972/4165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 300/216, 7972/4165

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 300/216,7972/4165

Given fractions are 300/216,7972/4165

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 300,7972

Greatest Common Factor of Numerators i.e. GCF of 300,7972 is 4 .

LCM of Denominators means LCM of 216,4165 as per the given fractions.

LCM of 216,4165 is 899640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 300,7972

GCF of Fractions 300/216,7972/4165 is 4/899640

2 300, 7972
2 150, 3986
75, 1993

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 300,7972 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,7972 By Matching Biggest Common Factor Method

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

Factors of 7972

List of positive integer factors of 7972 that divides 7972 without a remainder.

1,2,4,1993,3986,7972

Greatest Common Factor

We found the factors 300,7972 . The biggest common factor number is the GCF number.
So the greatest common factor 300,7972 is 4.

Lets's calculate LCM of 216,4165

Given numbers has no common factors except 1. So, there LCM is their product i.e 899640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/899640

Therefore, the GCF of Fractions 300/216,7972/4165 is 4/899640

Least Common Multiple of 216,4165 with GCF Formula

Least Common Multiple of 216,4165 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 216,4165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,4165) = 1

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

GCF(216,4165) x common factors =1 x 1 = 1

LCM(216,4165) = ( 216 × 4165 ) / 1

LCM(216,4165) = 899640 / 1

LCM(216,4165) = 899640


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 300/216, 7972/4165

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 300/216, 7972/4165?

Answer: GCF of Numerators as per given numbers 300/216, 7972/4165 is

GCF of Numerators i.e. for 300,7972 is 4

LCM of denominators i.e. for 216,4165 is 899640.

Thus, GCF of Fractions is 4/899640.Finally, GCF of Fractions for 300/216, 7972/4165 is 4/899640.