Greatest Common Factor of 8011/602, 6891/3084

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8011/602, 6891/3084

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 8011/602,6891/3084

Given fractions are 8011/602,6891/3084

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 8011,6891

Greatest Common Factor of Numerators i.e. GCF of 8011,6891 is 1 .

LCM of Denominators means LCM of 602,3084 as per the given fractions.

LCM of 602,3084 is 928284 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8011,6891

GCF of Fractions 8011/602,6891/3084 is 1/928284

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

Greatest Common Factor of 8011,6891 By Matching Biggest Common Factor Method

Greatest Common Factor of 8011,6891 By Matching Biggest Common Factor Method

Factors of 8011

List of positive integer factors of 8011 that divides 8011 without a remainder.

1,8011

Factors of 6891

List of positive integer factors of 6891 that divides 6891 without a remainder.

1,3,2297,6891

Greatest Common Factor

We found the factors 8011,6891 . The biggest common factor number is the GCF number.
So the greatest common factor 8011,6891 is 1.

Lets's calculate LCM of 602,3084

2 602, 3084
301, 1542

∴ So the LCM of the given numbers is 2 x 301 x 1542 = 928284

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/928284

Therefore, the GCF of Fractions 8011/602,6891/3084 is 1/928284

Least Common Multiple of 602,3084 with GCF Formula

Least Common Multiple of 602,3084 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 602,3084 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(602,3084) = 2

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

GCF(602,3084) x common factors =2 x 1 = 2

LCM(602,3084) = ( 602 × 3084 ) / 2

LCM(602,3084) = 1856568 / 2

LCM(602,3084) = 928284


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 8011/602, 6891/3084

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 8011/602, 6891/3084?

Answer: GCF of Numerators as per given numbers 8011/602, 6891/3084 is

GCF of Numerators i.e. for 8011,6891 is 1

LCM of denominators i.e. for 602,3084 is 928284.

Thus, GCF of Fractions is 1/928284.Finally, GCF of Fractions for 8011/602, 6891/3084 is 1/928284.