Greatest Common Factor of 6863/332, 8012/5554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 6863/332, 8012/5554

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 6863/332,8012/5554

Given fractions are 6863/332,8012/5554

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 6863,8012

Greatest Common Factor of Numerators i.e. GCF of 6863,8012 is 1 .

LCM of Denominators means LCM of 332,5554 as per the given fractions.

LCM of 332,5554 is 921964 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6863,8012

GCF of Fractions 6863/332,8012/5554 is 1/921964

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

Greatest Common Factor of 6863,8012 By Matching Biggest Common Factor Method

Greatest Common Factor of 6863,8012 By Matching Biggest Common Factor Method

Factors of 6863

List of positive integer factors of 6863 that divides 6863 without a remainder.

1,6863

Factors of 8012

List of positive integer factors of 8012 that divides 8012 without a remainder.

1,2,4,2003,4006,8012

Greatest Common Factor

We found the factors 6863,8012 . The biggest common factor number is the GCF number.
So the greatest common factor 6863,8012 is 1.


Lets's calculate LCM of 332,5554

2 332, 5554
166, 2777

∴ So the LCM of the given numbers is 2 x 166 x 2777 = 921964

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/921964

Therefore, the GCF of Fractions 6863/332,8012/5554 is 1/921964

Least Common Multiple of 332,5554 with GCF Formula

Least Common Multiple of 332,5554 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 332,5554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(332,5554) = 2

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

GCF(332,5554) x common factors =2 x 1 = 2

LCM(332,5554) = ( 332 × 5554 ) / 2

LCM(332,5554) = 1843928 / 2

LCM(332,5554) = 921964


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 6863/332, 8012/5554

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 6863/332, 8012/5554?

Answer: GCF of Numerators as per given numbers 6863/332, 8012/5554 is

GCF of Numerators i.e. for 6863,8012 is 1

LCM of denominators i.e. for 332,5554 is 921964.

Thus, GCF of Fractions is 1/921964.Finally, GCF of Fractions for 6863/332, 8012/5554 is 1/921964.