Greatest Common Factor of 584/42, 283/5302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 584/42, 283/5302

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 584/42,283/5302

Given fractions are 584/42,283/5302

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 584,283

Greatest Common Factor of Numerators i.e. GCF of 584,283 is 1 .

LCM of Denominators means LCM of 42,5302 as per the given fractions.

LCM of 42,5302 is 111342 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 584,283

GCF of Fractions 584/42,283/5302 is 1/111342

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

Greatest Common Factor of 584,283 By Matching Biggest Common Factor Method

Greatest Common Factor of 584,283 By Matching Biggest Common Factor Method

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 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Greatest Common Factor

We found the factors 584,283 . The biggest common factor number is the GCF number.
So the greatest common factor 584,283 is 1.

Lets's calculate LCM of 42,5302

2 42, 5302
21, 2651

∴ So the LCM of the given numbers is 2 x 21 x 2651 = 111342

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/111342

Therefore, the GCF of Fractions 584/42,283/5302 is 1/111342

Least Common Multiple of 42,5302 with GCF Formula

Least Common Multiple of 42,5302 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 42,5302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,5302) = 2

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

GCF(42,5302) x common factors =2 x 1 = 2

LCM(42,5302) = ( 42 × 5302 ) / 2

LCM(42,5302) = 222684 / 2

LCM(42,5302) = 111342


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 584/42, 283/5302

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 584/42, 283/5302?

Answer: GCF of Numerators as per given numbers 584/42, 283/5302 is

GCF of Numerators i.e. for 584,283 is 1

LCM of denominators i.e. for 42,5302 is 111342.

Thus, GCF of Fractions is 1/111342.Finally, GCF of Fractions for 584/42, 283/5302 is 1/111342.