Greatest Common Factor of 181/57, 587/19, 365/377

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 181/57, 587/19, 365/377

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 181/57,587/19,365/377

Given fractions are 181/57,587/19,365/377

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 181,587,365

Greatest Common Factor of Numerators i.e. GCF of 181,587,365 is 1 .

LCM of Denominators means LCM of 57,19,377 as per the given fractions.

LCM of 57,19,377 is 21489 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 181,587,365

GCF of Fractions 181/57,587/19,365/377 is 1/21489

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

Greatest Common Factor of 181,587,365 By Matching Biggest Common Factor Method

Greatest Common Factor of 181,587,365 By Matching Biggest Common Factor Method

Factors of 181

List of positive integer factors of 181 that divides 181 without a remainder.

1,181

Factors of 587

List of positive integer factors of 587 that divides 587 without a remainder.

1,587

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Greatest Common Factor

We found the factors 181,587,365 . The biggest common factor number is the GCF number.
So the greatest common factor 181,587,365 is 1.

Lets's calculate LCM of 57,19,377

19 57, 19, 377
3, 1, 377

∴ So the LCM of the given numbers is 19 x 3 x 1 x 377 = 21489

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21489

Therefore, the GCF of Fractions 181/57,587/19,365/377 is 1/21489

Least Common Multiple of 57,19,377 with GCF Formula

Least Common Multiple of 57,19,377 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 57,19,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,19,377) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(57,19,377) x common factors =1 x 19 = 19

LCM(57,19,377) = ( 57 × 19 × 377 ) / 19

LCM(57,19,377) = 408291 / 19

LCM(57,19,377) = 21489


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 181/57, 587/19, 365/377

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 181/57, 587/19, 365/377?

Answer: GCF of Numerators as per given numbers 181/57, 587/19, 365/377 is

GCF of Numerators i.e. for 181,587,365 is 1

LCM of denominators i.e. for 57,19,377 is 21489.

Thus, GCF of Fractions is 1/21489.Finally, GCF of Fractions for 181/57, 587/19, 365/377 is 1/21489.