Greatest Common Factor of 463/404, 580/221, 757/368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 463/404, 580/221, 757/368

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 463/404,580/221,757/368

Given fractions are 463/404,580/221,757/368

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 463,580,757

Greatest Common Factor of Numerators i.e. GCF of 463,580,757 is 1 .

LCM of Denominators means LCM of 404,221,368 as per the given fractions.

LCM of 404,221,368 is 8214128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 463,580,757

GCF of Fractions 463/404,580/221,757/368 is 1/8214128

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

Greatest Common Factor of 463,580,757 By Matching Biggest Common Factor Method

Greatest Common Factor of 463,580,757 By Matching Biggest Common Factor Method

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Greatest Common Factor

We found the factors 463,580,757 . The biggest common factor number is the GCF number.
So the greatest common factor 463,580,757 is 1.

Lets's calculate LCM of 404,221,368

2 404, 221, 368
2 202, 221, 184
101, 221, 92

∴ So the LCM of the given numbers is 2 x 2 x 101 x 221 x 92 = 8214128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8214128

Therefore, the GCF of Fractions 463/404,580/221,757/368 is 1/8214128

Least Common Multiple of 404,221,368 with GCF Formula

Least Common Multiple of 404,221,368 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 404,221,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,221,368) = 1

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

GCF(404,221,368) x common factors =1 x 4 = 4

LCM(404,221,368) = ( 404 × 221 × 368 ) / 4

LCM(404,221,368) = 32856512 / 4

LCM(404,221,368) = 8214128


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 463/404, 580/221, 757/368

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 463/404, 580/221, 757/368?

Answer: GCF of Numerators as per given numbers 463/404, 580/221, 757/368 is

GCF of Numerators i.e. for 463,580,757 is 1

LCM of denominators i.e. for 404,221,368 is 8214128.

Thus, GCF of Fractions is 1/8214128.Finally, GCF of Fractions for 463/404, 580/221, 757/368 is 1/8214128.