Greatest Common Factor of 561/443, 326/540, 187/800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 561/443, 326/540, 187/800

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 561/443,326/540,187/800

Given fractions are 561/443,326/540,187/800

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 561,326,187

Greatest Common Factor of Numerators i.e. GCF of 561,326,187 is 1 .

LCM of Denominators means LCM of 443,540,800 as per the given fractions.

LCM of 443,540,800 is 9568800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 561,326,187

GCF of Fractions 561/443,326/540,187/800 is 1/9568800

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 561,326,187 By Matching Biggest Common Factor Method

Greatest Common Factor of 561,326,187 By Matching Biggest Common Factor Method

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Greatest Common Factor

We found the factors 561,326,187 . The biggest common factor number is the GCF number.
So the greatest common factor 561,326,187 is 1.

Lets's calculate LCM of 443,540,800

2 443, 540, 800
2 443, 270, 400
5 443, 135, 200
443, 27, 40

∴ So the LCM of the given numbers is 2 x 2 x 5 x 443 x 27 x 40 = 9568800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9568800

Therefore, the GCF of Fractions 561/443,326/540,187/800 is 1/9568800

Least Common Multiple of 443,540,800 with GCF Formula

Least Common Multiple of 443,540,800 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 443,540,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(443,540,800) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(443,540,800) x common factors =1 x 20 = 20

LCM(443,540,800) = ( 443 × 540 × 800 ) / 20

LCM(443,540,800) = 191376000 / 20

LCM(443,540,800) = 9568800


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 561/443, 326/540, 187/800

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 561/443, 326/540, 187/800?

Answer: GCF of Numerators as per given numbers 561/443, 326/540, 187/800 is

GCF of Numerators i.e. for 561,326,187 is 1

LCM of denominators i.e. for 443,540,800 is 9568800.

Thus, GCF of Fractions is 1/9568800.Finally, GCF of Fractions for 561/443, 326/540, 187/800 is 1/9568800.