Greatest Common Factor of 4089/826, 1602/7200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4089/826, 1602/7200

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 4089/826,1602/7200

Given fractions are 4089/826,1602/7200

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 4089,1602

Greatest Common Factor of Numerators i.e. GCF of 4089,1602 is 3 .

LCM of Denominators means LCM of 826,7200 as per the given fractions.

LCM of 826,7200 is 2973600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4089,1602

GCF of Fractions 4089/826,1602/7200 is 3/2973600

3 4089, 1602
1363, 534

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 4089,1602 By Matching Biggest Common Factor Method

Greatest Common Factor of 4089,1602 By Matching Biggest Common Factor Method

Factors of 4089

List of positive integer factors of 4089 that divides 4089 without a remainder.

1,3,29,47,87,141,1363,4089

Factors of 1602

List of positive integer factors of 1602 that divides 1602 without a remainder.

1,2,3,6,9,18,89,178,267,534,801,1602

Greatest Common Factor

We found the factors 4089,1602 . The biggest common factor number is the GCF number.
So the greatest common factor 4089,1602 is 3.

Lets's calculate LCM of 826,7200

2 826, 7200
413, 3600

∴ So the LCM of the given numbers is 2 x 413 x 3600 = 2973600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2973600

Therefore, the GCF of Fractions 4089/826,1602/7200 is 3/2973600

Least Common Multiple of 826,7200 with GCF Formula

Least Common Multiple of 826,7200 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 826,7200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(826,7200) = 2

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

GCF(826,7200) x common factors =2 x 1 = 2

LCM(826,7200) = ( 826 × 7200 ) / 2

LCM(826,7200) = 5947200 / 2

LCM(826,7200) = 2973600


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 4089/826, 1602/7200

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 4089/826, 1602/7200?

Answer: GCF of Numerators as per given numbers 4089/826, 1602/7200 is

GCF of Numerators i.e. for 4089,1602 is 3

LCM of denominators i.e. for 826,7200 is 2973600.

Thus, GCF of Fractions is 3/2973600.Finally, GCF of Fractions for 4089/826, 1602/7200 is 3/2973600.