Greatest Common Factor of 7200/915, 7824/4916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7200/915, 7824/4916

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 7200/915,7824/4916

Given fractions are 7200/915,7824/4916

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 7200,7824

Greatest Common Factor of Numerators i.e. GCF of 7200,7824 is 48 .

LCM of Denominators means LCM of 915,4916 as per the given fractions.

LCM of 915,4916 is 4498140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7200,7824

GCF of Fractions 7200/915,7824/4916 is 48/4498140

2 7200, 7824
2 3600, 3912
2 1800, 1956
2 900, 978
3 450, 489
150, 163

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 = 48

Greatest Common Factor of 7200,7824 By Matching Biggest Common Factor Method

Greatest Common Factor of 7200,7824 By Matching Biggest Common Factor Method

Factors of 7200

List of positive integer factors of 7200 that divides 7200 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,25,30,32,36,40,45,48,50,60,72,75,80,90,96,100,120,144,150,160,180,200,225,240,288,300,360,400,450,480,600,720,800,900,1200,1440,1800,2400,3600,7200

Factors of 7824

List of positive integer factors of 7824 that divides 7824 without a remainder.

1,2,3,4,6,8,12,16,24,48,163,326,489,652,978,1304,1956,2608,3912,7824

Greatest Common Factor

We found the factors 7200,7824 . The biggest common factor number is the GCF number.
So the greatest common factor 7200,7824 is 48.

Lets's calculate LCM of 915,4916

Given numbers has no common factors except 1. So, there LCM is their product i.e 4498140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 48/4498140

Therefore, the GCF of Fractions 7200/915,7824/4916 is 48/4498140

Least Common Multiple of 915,4916 with GCF Formula

Least Common Multiple of 915,4916 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 915,4916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(915,4916) = 1

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

GCF(915,4916) x common factors =1 x 1 = 1

LCM(915,4916) = ( 915 × 4916 ) / 1

LCM(915,4916) = 4498140 / 1

LCM(915,4916) = 4498140


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 7200/915, 7824/4916

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 7200/915, 7824/4916?

Answer: GCF of Numerators as per given numbers 7200/915, 7824/4916 is

GCF of Numerators i.e. for 7200,7824 is 48

LCM of denominators i.e. for 915,4916 is 4498140.

Thus, GCF of Fractions is 48/4498140.Finally, GCF of Fractions for 7200/915, 7824/4916 is 48/4498140.