Greatest Common Factor of 1006/287, 1838/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1006/287, 1838/684

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 1006/287,1838/684

Given fractions are 1006/287,1838/684

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 1006,1838

Greatest Common Factor of Numerators i.e. GCF of 1006,1838 is 2 .

LCM of Denominators means LCM of 287,684 as per the given fractions.

LCM of 287,684 is 196308 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1006,1838

GCF of Fractions 1006/287,1838/684 is 2/196308

2 1006, 1838
503, 919

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

Greatest Common Factor of 1006,1838 By Matching Biggest Common Factor Method

Greatest Common Factor of 1006,1838 By Matching Biggest Common Factor Method

Factors of 1006

List of positive integer factors of 1006 that divides 1006 without a remainder.

1,2,503,1006

Factors of 1838

List of positive integer factors of 1838 that divides 1838 without a remainder.

1,2,919,1838

Greatest Common Factor

We found the factors 1006,1838 . The biggest common factor number is the GCF number.
So the greatest common factor 1006,1838 is 2.

Lets's calculate LCM of 287,684

Given numbers has no common factors except 1. So, there LCM is their product i.e 196308

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/196308

Therefore, the GCF of Fractions 1006/287,1838/684 is 2/196308

Least Common Multiple of 287,684 with GCF Formula

Least Common Multiple of 287,684 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 287,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(287,684) = 1

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

GCF(287,684) x common factors =1 x 1 = 1

LCM(287,684) = ( 287 × 684 ) / 1

LCM(287,684) = 196308 / 1

LCM(287,684) = 196308


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 1006/287, 1838/684

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 1006/287, 1838/684?

Answer: GCF of Numerators as per given numbers 1006/287, 1838/684 is

GCF of Numerators i.e. for 1006,1838 is 2

LCM of denominators i.e. for 287,684 is 196308.

Thus, GCF of Fractions is 2/196308.Finally, GCF of Fractions for 1006/287, 1838/684 is 2/196308.