Greatest Common Factor of 2272/408, 6904/8287

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2272/408, 6904/8287

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 2272/408,6904/8287

Given fractions are 2272/408,6904/8287

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 2272,6904

Greatest Common Factor of Numerators i.e. GCF of 2272,6904 is 8 .

LCM of Denominators means LCM of 408,8287 as per the given fractions.

LCM of 408,8287 is 3381096 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2272,6904

GCF of Fractions 2272/408,6904/8287 is 8/3381096

2 2272, 6904
2 1136, 3452
2 568, 1726
284, 863

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 2272,6904 By Matching Biggest Common Factor Method

Greatest Common Factor of 2272,6904 By Matching Biggest Common Factor Method

Factors of 2272

List of positive integer factors of 2272 that divides 2272 without a remainder.

1,2,4,8,16,32,71,142,284,568,1136,2272

Factors of 6904

List of positive integer factors of 6904 that divides 6904 without a remainder.

1,2,4,8,863,1726,3452,6904

Greatest Common Factor

We found the factors 2272,6904 . The biggest common factor number is the GCF number.
So the greatest common factor 2272,6904 is 8.

Lets's calculate LCM of 408,8287

Given numbers has no common factors except 1. So, there LCM is their product i.e 3381096

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/3381096

Therefore, the GCF of Fractions 2272/408,6904/8287 is 8/3381096

Least Common Multiple of 408,8287 with GCF Formula

Least Common Multiple of 408,8287 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 408,8287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(408,8287) = 1

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

GCF(408,8287) x common factors =1 x 1 = 1

LCM(408,8287) = ( 408 × 8287 ) / 1

LCM(408,8287) = 3381096 / 1

LCM(408,8287) = 3381096


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 2272/408, 6904/8287

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 2272/408, 6904/8287?

Answer: GCF of Numerators as per given numbers 2272/408, 6904/8287 is

GCF of Numerators i.e. for 2272,6904 is 8

LCM of denominators i.e. for 408,8287 is 3381096.

Thus, GCF of Fractions is 8/3381096.Finally, GCF of Fractions for 2272/408, 6904/8287 is 8/3381096.