Greatest Common Factor of 7200/15, 9200/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7200/15, 9200/984

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 7200/15,9200/984

Given fractions are 7200/15,9200/984

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 7200,9200

Greatest Common Factor of Numerators i.e. GCF of 7200,9200 is 400 .

LCM of Denominators means LCM of 15,984 as per the given fractions.

LCM of 15,984 is 4920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7200,9200

GCF of Fractions 7200/15,9200/984 is 400/4920

2 7200, 9200
2 3600, 4600
2 1800, 2300
2 900, 1150
5 450, 575
5 90, 115
18, 23

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 5 x 5 = 400

Greatest Common Factor of 7200,9200 By Matching Biggest Common Factor Method

Greatest Common Factor of 7200,9200 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 9200

List of positive integer factors of 9200 that divides 9200 without a remainder.

1,2,4,5,8,10,16,20,23,25,40,46,50,80,92,100,115,184,200,230,368,400,460,575,920,1150,1840,2300,4600,9200

Greatest Common Factor

We found the factors 7200,9200 . The biggest common factor number is the GCF number.
So the greatest common factor 7200,9200 is 400.

Lets's calculate LCM of 15,984

3 15, 984
5, 328

∴ So the LCM of the given numbers is 3 x 5 x 328 = 4920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 400/4920

Therefore, the GCF of Fractions 7200/15,9200/984 is 400/4920

Least Common Multiple of 15,984 with GCF Formula

Least Common Multiple of 15,984 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 15,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,984) = 3

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

GCF(15,984) x common factors =3 x 1 = 3

LCM(15,984) = ( 15 × 984 ) / 3

LCM(15,984) = 14760 / 3

LCM(15,984) = 4920


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 7200/15, 9200/984

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 7200/15, 9200/984?

Answer: GCF of Numerators as per given numbers 7200/15, 9200/984 is

GCF of Numerators i.e. for 7200,9200 is 400

LCM of denominators i.e. for 15,984 is 4920.

Thus, GCF of Fractions is 400/4920.Finally, GCF of Fractions for 7200/15, 9200/984 is 400/4920.