Greatest Common Factor of 7269/600, 6267/1668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7269/600, 6267/1668

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 7269/600,6267/1668

Given fractions are 7269/600,6267/1668

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 7269,6267

Greatest Common Factor of Numerators i.e. GCF of 7269,6267 is 3 .

LCM of Denominators means LCM of 600,1668 as per the given fractions.

LCM of 600,1668 is 83400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7269,6267

GCF of Fractions 7269/600,6267/1668 is 3/83400

3 7269, 6267
2423, 2089

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

Greatest Common Factor of 7269,6267 By Matching Biggest Common Factor Method

Greatest Common Factor of 7269,6267 By Matching Biggest Common Factor Method

Factors of 7269

List of positive integer factors of 7269 that divides 7269 without a remainder.

1,3,2423,7269

Factors of 6267

List of positive integer factors of 6267 that divides 6267 without a remainder.

1,3,2089,6267

Greatest Common Factor

We found the factors 7269,6267 . The biggest common factor number is the GCF number.
So the greatest common factor 7269,6267 is 3.

Lets's calculate LCM of 600,1668

2 600, 1668
2 300, 834
3 150, 417
50, 139

∴ So the LCM of the given numbers is 2 x 2 x 3 x 50 x 139 = 83400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/83400

Therefore, the GCF of Fractions 7269/600,6267/1668 is 3/83400

Least Common Multiple of 600,1668 with GCF Formula

Least Common Multiple of 600,1668 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 600,1668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,1668) = 12

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

GCF(600,1668) x common factors =12 x 1 = 12

LCM(600,1668) = ( 600 × 1668 ) / 12

LCM(600,1668) = 1000800 / 12

LCM(600,1668) = 83400


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 7269/600, 6267/1668

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 7269/600, 6267/1668?

Answer: GCF of Numerators as per given numbers 7269/600, 6267/1668 is

GCF of Numerators i.e. for 7269,6267 is 3

LCM of denominators i.e. for 600,1668 is 83400.

Thus, GCF of Fractions is 3/83400.Finally, GCF of Fractions for 7269/600, 6267/1668 is 3/83400.