Greatest Common Factor of 1863/686, 6882/9020

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1863/686, 6882/9020

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 1863/686,6882/9020

Given fractions are 1863/686,6882/9020

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 1863,6882

Greatest Common Factor of Numerators i.e. GCF of 1863,6882 is 3 .

LCM of Denominators means LCM of 686,9020 as per the given fractions.

LCM of 686,9020 is 3093860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1863,6882

GCF of Fractions 1863/686,6882/9020 is 3/3093860

3 1863, 6882
621, 2294

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1863,6882 By Matching Biggest Common Factor Method

Greatest Common Factor of 1863,6882 By Matching Biggest Common Factor Method

Factors of 1863

List of positive integer factors of 1863 that divides 1863 without a remainder.

1,3,9,23,27,69,81,207,621,1863

Factors of 6882

List of positive integer factors of 6882 that divides 6882 without a remainder.

1,2,3,6,31,37,62,74,93,111,186,222,1147,2294,3441,6882

Greatest Common Factor

We found the factors 1863,6882 . The biggest common factor number is the GCF number.
So the greatest common factor 1863,6882 is 3.

Lets's calculate LCM of 686,9020

2 686, 9020
343, 4510

∴ So the LCM of the given numbers is 2 x 343 x 4510 = 3093860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3093860

Therefore, the GCF of Fractions 1863/686,6882/9020 is 3/3093860

Least Common Multiple of 686,9020 with GCF Formula

Least Common Multiple of 686,9020 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 686,9020 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,9020) = 2

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

GCF(686,9020) x common factors =2 x 1 = 2

LCM(686,9020) = ( 686 × 9020 ) / 2

LCM(686,9020) = 6187720 / 2

LCM(686,9020) = 3093860


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 1863/686, 6882/9020

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 1863/686, 6882/9020?

Answer: GCF of Numerators as per given numbers 1863/686, 6882/9020 is

GCF of Numerators i.e. for 1863,6882 is 3

LCM of denominators i.e. for 686,9020 is 3093860.

Thus, GCF of Fractions is 3/3093860.Finally, GCF of Fractions for 1863/686, 6882/9020 is 3/3093860.