Greatest Common Factor of 8418/773, 6667/2144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8418/773, 6667/2144

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 8418/773,6667/2144

Given fractions are 8418/773,6667/2144

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 8418,6667

Greatest Common Factor of Numerators i.e. GCF of 8418,6667 is 1 .

LCM of Denominators means LCM of 773,2144 as per the given fractions.

LCM of 773,2144 is 1657312 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8418,6667

GCF of Fractions 8418/773,6667/2144 is 1/1657312

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

Greatest Common Factor of 8418,6667 By Matching Biggest Common Factor Method

Greatest Common Factor of 8418,6667 By Matching Biggest Common Factor Method

Factors of 8418

List of positive integer factors of 8418 that divides 8418 without a remainder.

1,2,3,6,23,46,61,69,122,138,183,366,1403,2806,4209,8418

Factors of 6667

List of positive integer factors of 6667 that divides 6667 without a remainder.

1,59,113,6667

Greatest Common Factor

We found the factors 8418,6667 . The biggest common factor number is the GCF number.
So the greatest common factor 8418,6667 is 1.

Lets's calculate LCM of 773,2144

Given numbers has no common factors except 1. So, there LCM is their product i.e 1657312

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1657312

Therefore, the GCF of Fractions 8418/773,6667/2144 is 1/1657312

Least Common Multiple of 773,2144 with GCF Formula

Least Common Multiple of 773,2144 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 773,2144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(773,2144) = 1

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

GCF(773,2144) x common factors =1 x 1 = 1

LCM(773,2144) = ( 773 × 2144 ) / 1

LCM(773,2144) = 1657312 / 1

LCM(773,2144) = 1657312


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 8418/773, 6667/2144

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 8418/773, 6667/2144?

Answer: GCF of Numerators as per given numbers 8418/773, 6667/2144 is

GCF of Numerators i.e. for 8418,6667 is 1

LCM of denominators i.e. for 773,2144 is 1657312.

Thus, GCF of Fractions is 1/1657312.Finally, GCF of Fractions for 8418/773, 6667/2144 is 1/1657312.