Greatest Common Factor of 3666/576, 5681/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3666/576, 5681/225

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 3666/576,5681/225

Given fractions are 3666/576,5681/225

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 3666,5681

Greatest Common Factor of Numerators i.e. GCF of 3666,5681 is 13 .

LCM of Denominators means LCM of 576,225 as per the given fractions.

LCM of 576,225 is 14400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3666,5681

GCF of Fractions 3666/576,5681/225 is 13/14400

13 3666, 5681
282, 437

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 3666,5681 By Matching Biggest Common Factor Method

Greatest Common Factor of 3666,5681 By Matching Biggest Common Factor Method

Factors of 3666

List of positive integer factors of 3666 that divides 3666 without a remainder.

1,2,3,6,13,26,39,47,78,94,141,282,611,1222,1833,3666

Factors of 5681

List of positive integer factors of 5681 that divides 5681 without a remainder.

1,13,19,23,247,299,437,5681

Greatest Common Factor

We found the factors 3666,5681 . The biggest common factor number is the GCF number.
So the greatest common factor 3666,5681 is 13.

Lets's calculate LCM of 576,225

3 576, 225
3 192, 75
64, 25

∴ So the LCM of the given numbers is 3 x 3 x 64 x 25 = 14400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/14400

Therefore, the GCF of Fractions 3666/576,5681/225 is 13/14400

Least Common Multiple of 576,225 with GCF Formula

Least Common Multiple of 576,225 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 576,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(576,225) = 9

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

GCF(576,225) x common factors =9 x 1 = 9

LCM(576,225) = ( 576 × 225 ) / 9

LCM(576,225) = 129600 / 9

LCM(576,225) = 14400


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 3666/576, 5681/225

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 3666/576, 5681/225?

Answer: GCF of Numerators as per given numbers 3666/576, 5681/225 is

GCF of Numerators i.e. for 3666,5681 is 13

LCM of denominators i.e. for 576,225 is 14400.

Thus, GCF of Fractions is 13/14400.Finally, GCF of Fractions for 3666/576, 5681/225 is 13/14400.