Greatest Common Factor of 183/41, 574/22, 731/25

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 183/41, 574/22, 731/25

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 183/41,574/22,731/25

Given fractions are 183/41,574/22,731/25

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 183,574,731

Greatest Common Factor of Numerators i.e. GCF of 183,574,731 is 1 .

LCM of Denominators means LCM of 41,22,25 as per the given fractions.

LCM of 41,22,25 is 22550 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 183,574,731

GCF of Fractions 183/41,574/22,731/25 is 1/22550

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

Greatest Common Factor of 183,574,731 By Matching Biggest Common Factor Method

Greatest Common Factor of 183,574,731 By Matching Biggest Common Factor Method

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Greatest Common Factor

We found the factors 183,574,731 . The biggest common factor number is the GCF number.
So the greatest common factor 183,574,731 is 1.

Lets's calculate LCM of 41,22,25

Given numbers has no common factors except 1. So, there LCM is their product i.e 22550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22550

Therefore, the GCF of Fractions 183/41,574/22,731/25 is 1/22550

Least Common Multiple of 41,22,25 with GCF Formula

Least Common Multiple of 41,22,25 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 41,22,25 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,22,25) = 1

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

GCF(41,22,25) x common factors =1 x 1 = 1

LCM(41,22,25) = ( 41 × 22 × 25 ) / 1

LCM(41,22,25) = 22550 / 1

LCM(41,22,25) = 22550


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 183/41, 574/22, 731/25

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 183/41, 574/22, 731/25?

Answer: GCF of Numerators as per given numbers 183/41, 574/22, 731/25 is

GCF of Numerators i.e. for 183,574,731 is 1

LCM of denominators i.e. for 41,22,25 is 22550.

Thus, GCF of Fractions is 1/22550.Finally, GCF of Fractions for 183/41, 574/22, 731/25 is 1/22550.