Greatest Common Factor of 6885/664, 5525/2723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6885/664, 5525/2723

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 6885/664,5525/2723

Given fractions are 6885/664,5525/2723

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 6885,5525

Greatest Common Factor of Numerators i.e. GCF of 6885,5525 is 85 .

LCM of Denominators means LCM of 664,2723 as per the given fractions.

LCM of 664,2723 is 1808072 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6885,5525

GCF of Fractions 6885/664,5525/2723 is 85/1808072

5 6885, 5525
17 1377, 1105
81, 65

∴ So the GCF of the given numbers is 5 x 17 = 85

Greatest Common Factor of 6885,5525 By Matching Biggest Common Factor Method

Greatest Common Factor of 6885,5525 By Matching Biggest Common Factor Method

Factors of 6885

List of positive integer factors of 6885 that divides 6885 without a remainder.

1,3,5,9,15,17,27,45,51,81,85,135,153,255,405,459,765,1377,2295,6885

Factors of 5525

List of positive integer factors of 5525 that divides 5525 without a remainder.

1,5,13,17,25,65,85,221,325,425,1105,5525

Greatest Common Factor

We found the factors 6885,5525 . The biggest common factor number is the GCF number.
So the greatest common factor 6885,5525 is 85.

Lets's calculate LCM of 664,2723

Given numbers has no common factors except 1. So, there LCM is their product i.e 1808072

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 85/1808072

Therefore, the GCF of Fractions 6885/664,5525/2723 is 85/1808072

Least Common Multiple of 664,2723 with GCF Formula

Least Common Multiple of 664,2723 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 664,2723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(664,2723) = 1

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

GCF(664,2723) x common factors =1 x 1 = 1

LCM(664,2723) = ( 664 × 2723 ) / 1

LCM(664,2723) = 1808072 / 1

LCM(664,2723) = 1808072


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 6885/664, 5525/2723

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 6885/664, 5525/2723?

Answer: GCF of Numerators as per given numbers 6885/664, 5525/2723 is

GCF of Numerators i.e. for 6885,5525 is 85

LCM of denominators i.e. for 664,2723 is 1808072.

Thus, GCF of Fractions is 85/1808072.Finally, GCF of Fractions for 6885/664, 5525/2723 is 85/1808072.