Greatest Common Factor of 7200/373, 3050/533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7200/373, 3050/533

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 7200/373,3050/533

Given fractions are 7200/373,3050/533

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 7200,3050

Greatest Common Factor of Numerators i.e. GCF of 7200,3050 is 50 .

LCM of Denominators means LCM of 373,533 as per the given fractions.

LCM of 373,533 is 198809 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7200,3050

GCF of Fractions 7200/373,3050/533 is 50/198809

2 7200, 3050
5 3600, 1525
5 720, 305
144, 61

∴ So the GCF of the given numbers is 2 x 5 x 5 = 50

Greatest Common Factor of 7200,3050 By Matching Biggest Common Factor Method

Greatest Common Factor of 7200,3050 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 3050

List of positive integer factors of 3050 that divides 3050 without a remainder.

1,2,5,10,25,50,61,122,305,610,1525,3050

Greatest Common Factor

We found the factors 7200,3050 . The biggest common factor number is the GCF number.
So the greatest common factor 7200,3050 is 50.

Lets's calculate LCM of 373,533

Given numbers has no common factors except 1. So, there LCM is their product i.e 198809

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 50/198809

Therefore, the GCF of Fractions 7200/373,3050/533 is 50/198809

Least Common Multiple of 373,533 with GCF Formula

Least Common Multiple of 373,533 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 373,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(373,533) = 1

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

GCF(373,533) x common factors =1 x 1 = 1

LCM(373,533) = ( 373 × 533 ) / 1

LCM(373,533) = 198809 / 1

LCM(373,533) = 198809


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 7200/373, 3050/533

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 7200/373, 3050/533?

Answer: GCF of Numerators as per given numbers 7200/373, 3050/533 is

GCF of Numerators i.e. for 7200,3050 is 50

LCM of denominators i.e. for 373,533 is 198809.

Thus, GCF of Fractions is 50/198809.Finally, GCF of Fractions for 7200/373, 3050/533 is 50/198809.