Greatest Common Factor of 41/891, 594/244, 484/720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 41/891, 594/244, 484/720

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 41/891,594/244,484/720

Given fractions are 41/891,594/244,484/720

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 41,594,484

Greatest Common Factor of Numerators i.e. GCF of 41,594,484 is 1 .

LCM of Denominators means LCM of 891,244,720 as per the given fractions.

LCM of 891,244,720 is 4348080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 41,594,484

GCF of Fractions 41/891,594/244,484/720 is 1/4348080

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

Greatest Common Factor of 41,594,484 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,594,484 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Greatest Common Factor

We found the factors 41,594,484 . The biggest common factor number is the GCF number.
So the greatest common factor 41,594,484 is 1.

Lets's calculate LCM of 891,244,720

2 891, 244, 720
2 891, 122, 360
3 891, 61, 180
3 297, 61, 60
99, 61, 20

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 99 x 61 x 20 = 4348080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4348080

Therefore, the GCF of Fractions 41/891,594/244,484/720 is 1/4348080

Least Common Multiple of 891,244,720 with GCF Formula

Least Common Multiple of 891,244,720 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 891,244,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(891,244,720) = 1

common factors(in case of two or more numbers have common factors) = 36

GCF(891,244,720) x common factors =1 x 36 = 36

LCM(891,244,720) = ( 891 × 244 × 720 ) / 36

LCM(891,244,720) = 156530880 / 36

LCM(891,244,720) = 4348080


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 41/891, 594/244, 484/720

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 41/891, 594/244, 484/720?

Answer: GCF of Numerators as per given numbers 41/891, 594/244, 484/720 is

GCF of Numerators i.e. for 41,594,484 is 1

LCM of denominators i.e. for 891,244,720 is 4348080.

Thus, GCF of Fractions is 1/4348080.Finally, GCF of Fractions for 41/891, 594/244, 484/720 is 1/4348080.