Greatest Common Factor of 584/836, 2003/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 584/836, 2003/462

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 584/836,2003/462

Given fractions are 584/836,2003/462

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 584,2003

Greatest Common Factor of Numerators i.e. GCF of 584,2003 is 1 .

LCM of Denominators means LCM of 836,462 as per the given fractions.

LCM of 836,462 is 17556 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 584,2003

GCF of Fractions 584/836,2003/462 is 1/17556

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

Greatest Common Factor of 584,2003 By Matching Biggest Common Factor Method

Greatest Common Factor of 584,2003 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 2003

List of positive integer factors of 2003 that divides 2003 without a remainder.

1,2003

Greatest Common Factor

We found the factors 584,2003 . The biggest common factor number is the GCF number.
So the greatest common factor 584,2003 is 1.

Lets's calculate LCM of 836,462

2 836, 462
11 418, 231
38, 21

∴ So the LCM of the given numbers is 2 x 11 x 38 x 21 = 17556

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17556

Therefore, the GCF of Fractions 584/836,2003/462 is 1/17556

Least Common Multiple of 836,462 with GCF Formula

Least Common Multiple of 836,462 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 836,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(836,462) = 22

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

GCF(836,462) x common factors =22 x 1 = 22

LCM(836,462) = ( 836 × 462 ) / 22

LCM(836,462) = 386232 / 22

LCM(836,462) = 17556


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 584/836, 2003/462

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 584/836, 2003/462?

Answer: GCF of Numerators as per given numbers 584/836, 2003/462 is

GCF of Numerators i.e. for 584,2003 is 1

LCM of denominators i.e. for 836,462 is 17556.

Thus, GCF of Fractions is 1/17556.Finally, GCF of Fractions for 584/836, 2003/462 is 1/17556.