Greatest Common Factor of 104/405, 912/447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 104/405, 912/447

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 104/405,912/447

Given fractions are 104/405,912/447

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 104,912

Greatest Common Factor of Numerators i.e. GCF of 104,912 is 8 .

LCM of Denominators means LCM of 405,447 as per the given fractions.

LCM of 405,447 is 60345 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 104,912

GCF of Fractions 104/405,912/447 is 8/60345

2 104, 912
2 52, 456
2 26, 228
13, 114

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 104,912 By Matching Biggest Common Factor Method

Greatest Common Factor of 104,912 By Matching Biggest Common Factor Method

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Greatest Common Factor

We found the factors 104,912 . The biggest common factor number is the GCF number.
So the greatest common factor 104,912 is 8.

Lets's calculate LCM of 405,447

3 405, 447
135, 149

∴ So the LCM of the given numbers is 3 x 135 x 149 = 60345

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/60345

Therefore, the GCF of Fractions 104/405,912/447 is 8/60345

Least Common Multiple of 405,447 with GCF Formula

Least Common Multiple of 405,447 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 405,447 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(405,447) = 3

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

GCF(405,447) x common factors =3 x 1 = 3

LCM(405,447) = ( 405 × 447 ) / 3

LCM(405,447) = 181035 / 3

LCM(405,447) = 60345


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 104/405, 912/447

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 104/405, 912/447?

Answer: GCF of Numerators as per given numbers 104/405, 912/447 is

GCF of Numerators i.e. for 104,912 is 8

LCM of denominators i.e. for 405,447 is 60345.

Thus, GCF of Fractions is 8/60345.Finally, GCF of Fractions for 104/405, 912/447 is 8/60345.