Greatest Common Factor of 405/133, 7200/9671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 405/133, 7200/9671

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 405/133,7200/9671

Given fractions are 405/133,7200/9671

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 405,7200

Greatest Common Factor of Numerators i.e. GCF of 405,7200 is 45 .

LCM of Denominators means LCM of 133,9671 as per the given fractions.

LCM of 133,9671 is 67697 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 405,7200

GCF of Fractions 405/133,7200/9671 is 45/67697

3 405, 7200
3 135, 2400
5 45, 800
9, 160

∴ So the GCF of the given numbers is 3 x 3 x 5 = 45

Greatest Common Factor of 405,7200 By Matching Biggest Common Factor Method

Greatest Common Factor of 405,7200 By Matching Biggest Common Factor Method

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

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

Greatest Common Factor

We found the factors 405,7200 . The biggest common factor number is the GCF number.
So the greatest common factor 405,7200 is 45.

Lets's calculate LCM of 133,9671

19 133, 9671
7, 509

∴ So the LCM of the given numbers is 19 x 7 x 509 = 67697

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 45/67697

Therefore, the GCF of Fractions 405/133,7200/9671 is 45/67697

Least Common Multiple of 133,9671 with GCF Formula

Least Common Multiple of 133,9671 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 133,9671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(133,9671) = 19

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

GCF(133,9671) x common factors =19 x 1 = 19

LCM(133,9671) = ( 133 × 9671 ) / 19

LCM(133,9671) = 1286243 / 19

LCM(133,9671) = 67697


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 405/133, 7200/9671

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 405/133, 7200/9671?

Answer: GCF of Numerators as per given numbers 405/133, 7200/9671 is

GCF of Numerators i.e. for 405,7200 is 45

LCM of denominators i.e. for 133,9671 is 67697.

Thus, GCF of Fractions is 45/67697.Finally, GCF of Fractions for 405/133, 7200/9671 is 45/67697.