Greatest Common Factor of 37/227, 40/110, 909/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 37/227, 40/110, 909/642

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 37/227,40/110,909/642

Given fractions are 37/227,40/110,909/642

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 37,40,909

Greatest Common Factor of Numerators i.e. GCF of 37,40,909 is 1 .

LCM of Denominators means LCM of 227,110,642 as per the given fractions.

LCM of 227,110,642 is 8015370 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 37,40,909

GCF of Fractions 37/227,40/110,909/642 is 1/8015370

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

Greatest Common Factor of 37,40,909 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,40,909 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Greatest Common Factor

We found the factors 37,40,909 . The biggest common factor number is the GCF number.
So the greatest common factor 37,40,909 is 1.

Lets's calculate LCM of 227,110,642

2 227, 110, 642
227, 55, 321

∴ So the LCM of the given numbers is 2 x 227 x 55 x 321 = 8015370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8015370

Therefore, the GCF of Fractions 37/227,40/110,909/642 is 1/8015370

Least Common Multiple of 227,110,642 with GCF Formula

Least Common Multiple of 227,110,642 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 227,110,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(227,110,642) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(227,110,642) x common factors =1 x 2 = 2

LCM(227,110,642) = ( 227 × 110 × 642 ) / 2

LCM(227,110,642) = 16030740 / 2

LCM(227,110,642) = 8015370


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 37/227, 40/110, 909/642

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 37/227, 40/110, 909/642?

Answer: GCF of Numerators as per given numbers 37/227, 40/110, 909/642 is

GCF of Numerators i.e. for 37,40,909 is 1

LCM of denominators i.e. for 227,110,642 is 8015370.

Thus, GCF of Fractions is 1/8015370.Finally, GCF of Fractions for 37/227, 40/110, 909/642 is 1/8015370.