Greatest Common Factor of 804/422, 584/424, 588/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 804/422, 584/424, 588/242

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 804/422,584/424,588/242

Given fractions are 804/422,584/424,588/242

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 804,584,588

Greatest Common Factor of Numerators i.e. GCF of 804,584,588 is 4 .

LCM of Denominators means LCM of 422,424,242 as per the given fractions.

LCM of 422,424,242 is 10825144 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 804,584,588

GCF of Fractions 804/422,584/424,588/242 is 4/10825144

2 804, 584, 588
2 402, 292, 294
201, 146, 147

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 804,584,588 By Matching Biggest Common Factor Method

Greatest Common Factor of 804,584,588 By Matching Biggest Common Factor Method

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Greatest Common Factor

We found the factors 804,584,588 . The biggest common factor number is the GCF number.
So the greatest common factor 804,584,588 is 4.

Lets's calculate LCM of 422,424,242

2 422, 424, 242
211, 212, 121

∴ So the LCM of the given numbers is 2 x 211 x 212 x 121 = 10825144

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/10825144

Therefore, the GCF of Fractions 804/422,584/424,588/242 is 4/10825144

Least Common Multiple of 422,424,242 with GCF Formula

Least Common Multiple of 422,424,242 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 422,424,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,424,242) = 2

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

GCF(422,424,242) x common factors =2 x 2 = 4

LCM(422,424,242) = ( 422 × 424 × 242 ) / 4

LCM(422,424,242) = 43300576 / 4

LCM(422,424,242) = 10825144


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 804/422, 584/424, 588/242

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 804/422, 584/424, 588/242?

Answer: GCF of Numerators as per given numbers 804/422, 584/424, 588/242 is

GCF of Numerators i.e. for 804,584,588 is 4

LCM of denominators i.e. for 422,424,242 is 10825144.

Thus, GCF of Fractions is 4/10825144.Finally, GCF of Fractions for 804/422, 584/424, 588/242 is 4/10825144.