Greatest Common Factor of 73/410, 44/848, 226/358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 73/410, 44/848, 226/358

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 73/410,44/848,226/358

Given fractions are 73/410,44/848,226/358

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 73,44,226

Greatest Common Factor of Numerators i.e. GCF of 73,44,226 is 1 .

LCM of Denominators means LCM of 410,848,358 as per the given fractions.

LCM of 410,848,358 is 31117360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 73,44,226

GCF of Fractions 73/410,44/848,226/358 is 1/31117360

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

Greatest Common Factor of 73,44,226 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,44,226 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Greatest Common Factor

We found the factors 73,44,226 . The biggest common factor number is the GCF number.
So the greatest common factor 73,44,226 is 1.

Lets's calculate LCM of 410,848,358

2 410, 848, 358
205, 424, 179

∴ So the LCM of the given numbers is 2 x 205 x 424 x 179 = 31117360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31117360

Therefore, the GCF of Fractions 73/410,44/848,226/358 is 1/31117360

Least Common Multiple of 410,848,358 with GCF Formula

Least Common Multiple of 410,848,358 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 410,848,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(410,848,358) = 2

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

GCF(410,848,358) x common factors =2 x 2 = 4

LCM(410,848,358) = ( 410 × 848 × 358 ) / 4

LCM(410,848,358) = 124469440 / 4

LCM(410,848,358) = 31117360


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 73/410, 44/848, 226/358

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 73/410, 44/848, 226/358?

Answer: GCF of Numerators as per given numbers 73/410, 44/848, 226/358 is

GCF of Numerators i.e. for 73,44,226 is 1

LCM of denominators i.e. for 410,848,358 is 31117360.

Thus, GCF of Fractions is 1/31117360.Finally, GCF of Fractions for 73/410, 44/848, 226/358 is 1/31117360.