Greatest Common Factor of 655/43, 227/36, 413/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 655/43, 227/36, 413/724

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 655/43,227/36,413/724

Given fractions are 655/43,227/36,413/724

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 655,227,413

Greatest Common Factor of Numerators i.e. GCF of 655,227,413 is 1 .

LCM of Denominators means LCM of 43,36,724 as per the given fractions.

LCM of 43,36,724 is 280188 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 655,227,413

GCF of Fractions 655/43,227/36,413/724 is 1/280188

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

Greatest Common Factor of 655,227,413 By Matching Biggest Common Factor Method

Greatest Common Factor of 655,227,413 By Matching Biggest Common Factor Method

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Factors of 227

List of positive integer factors of 227 that divides 227 without a remainder.

1,227

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Greatest Common Factor

We found the factors 655,227,413 . The biggest common factor number is the GCF number.
So the greatest common factor 655,227,413 is 1.

Lets's calculate LCM of 43,36,724

2 43, 36, 724
2 43, 18, 362
43, 9, 181

∴ So the LCM of the given numbers is 2 x 2 x 43 x 9 x 181 = 280188

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/280188

Therefore, the GCF of Fractions 655/43,227/36,413/724 is 1/280188

Least Common Multiple of 43,36,724 with GCF Formula

Least Common Multiple of 43,36,724 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 43,36,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,36,724) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(43,36,724) x common factors =1 x 4 = 4

LCM(43,36,724) = ( 43 × 36 × 724 ) / 4

LCM(43,36,724) = 1120752 / 4

LCM(43,36,724) = 280188


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 655/43, 227/36, 413/724

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 655/43, 227/36, 413/724?

Answer: GCF of Numerators as per given numbers 655/43, 227/36, 413/724 is

GCF of Numerators i.e. for 655,227,413 is 1

LCM of denominators i.e. for 43,36,724 is 280188.

Thus, GCF of Fractions is 1/280188.Finally, GCF of Fractions for 655/43, 227/36, 413/724 is 1/280188.