Greatest Common Factor of 3636/567, 8529/705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3636/567, 8529/705

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 3636/567,8529/705

Given fractions are 3636/567,8529/705

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 3636,8529

Greatest Common Factor of Numerators i.e. GCF of 3636,8529 is 3 .

LCM of Denominators means LCM of 567,705 as per the given fractions.

LCM of 567,705 is 133245 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3636,8529

GCF of Fractions 3636/567,8529/705 is 3/133245

3 3636, 8529
1212, 2843

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

Greatest Common Factor of 3636,8529 By Matching Biggest Common Factor Method

Greatest Common Factor of 3636,8529 By Matching Biggest Common Factor Method

Factors of 3636

List of positive integer factors of 3636 that divides 3636 without a remainder.

1,2,3,4,6,9,12,18,36,101,202,303,404,606,909,1212,1818,3636

Factors of 8529

List of positive integer factors of 8529 that divides 8529 without a remainder.

1,3,2843,8529

Greatest Common Factor

We found the factors 3636,8529 . The biggest common factor number is the GCF number.
So the greatest common factor 3636,8529 is 3.

Lets's calculate LCM of 567,705

3 567, 705
189, 235

∴ So the LCM of the given numbers is 3 x 189 x 235 = 133245

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/133245

Therefore, the GCF of Fractions 3636/567,8529/705 is 3/133245

Least Common Multiple of 567,705 with GCF Formula

Least Common Multiple of 567,705 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 567,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(567,705) = 3

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

GCF(567,705) x common factors =3 x 1 = 3

LCM(567,705) = ( 567 × 705 ) / 3

LCM(567,705) = 399735 / 3

LCM(567,705) = 133245


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 3636/567, 8529/705

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 3636/567, 8529/705?

Answer: GCF of Numerators as per given numbers 3636/567, 8529/705 is

GCF of Numerators i.e. for 3636,8529 is 3

LCM of denominators i.e. for 567,705 is 133245.

Thus, GCF of Fractions is 3/133245.Finally, GCF of Fractions for 3636/567, 8529/705 is 3/133245.