Greatest Common Factor of 3477/338, 5775/2533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3477/338, 5775/2533

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 3477/338,5775/2533

Given fractions are 3477/338,5775/2533

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 3477,5775

Greatest Common Factor of Numerators i.e. GCF of 3477,5775 is 3 .

LCM of Denominators means LCM of 338,2533 as per the given fractions.

LCM of 338,2533 is 856154 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3477,5775

GCF of Fractions 3477/338,5775/2533 is 3/856154

3 3477, 5775
1159, 1925

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

Greatest Common Factor of 3477,5775 By Matching Biggest Common Factor Method

Greatest Common Factor of 3477,5775 By Matching Biggest Common Factor Method

Factors of 3477

List of positive integer factors of 3477 that divides 3477 without a remainder.

1,3,19,57,61,183,1159,3477

Factors of 5775

List of positive integer factors of 5775 that divides 5775 without a remainder.

1,3,5,7,11,15,21,25,33,35,55,75,77,105,165,175,231,275,385,525,825,1155,1925,5775

Greatest Common Factor

We found the factors 3477,5775 . The biggest common factor number is the GCF number.
So the greatest common factor 3477,5775 is 3.

Lets's calculate LCM of 338,2533

Given numbers has no common factors except 1. So, there LCM is their product i.e 856154

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/856154

Therefore, the GCF of Fractions 3477/338,5775/2533 is 3/856154

Least Common Multiple of 338,2533 with GCF Formula

Least Common Multiple of 338,2533 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 338,2533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,2533) = 1

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

GCF(338,2533) x common factors =1 x 1 = 1

LCM(338,2533) = ( 338 × 2533 ) / 1

LCM(338,2533) = 856154 / 1

LCM(338,2533) = 856154


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 3477/338, 5775/2533

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 3477/338, 5775/2533?

Answer: GCF of Numerators as per given numbers 3477/338, 5775/2533 is

GCF of Numerators i.e. for 3477,5775 is 3

LCM of denominators i.e. for 338,2533 is 856154.

Thus, GCF of Fractions is 3/856154.Finally, GCF of Fractions for 3477/338, 5775/2533 is 3/856154.