Greatest Common Factor of 777/18, 1290/227

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 777/18, 1290/227

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 777/18,1290/227

Given fractions are 777/18,1290/227

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 777,1290

Greatest Common Factor of Numerators i.e. GCF of 777,1290 is 3 .

LCM of Denominators means LCM of 18,227 as per the given fractions.

LCM of 18,227 is 4086 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 777,1290

GCF of Fractions 777/18,1290/227 is 3/4086

3 777, 1290
259, 430

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

Greatest Common Factor of 777,1290 By Matching Biggest Common Factor Method

Greatest Common Factor of 777,1290 By Matching Biggest Common Factor Method

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Factors of 1290

List of positive integer factors of 1290 that divides 1290 without a remainder.

1,2,3,5,6,10,15,30,43,86,129,215,258,430,645,1290

Greatest Common Factor

We found the factors 777,1290 . The biggest common factor number is the GCF number.
So the greatest common factor 777,1290 is 3.

Lets's calculate LCM of 18,227

Given numbers has no common factors except 1. So, there LCM is their product i.e 4086

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4086

Therefore, the GCF of Fractions 777/18,1290/227 is 3/4086

Least Common Multiple of 18,227 with GCF Formula

Least Common Multiple of 18,227 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 18,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,227) = 1

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

GCF(18,227) x common factors =1 x 1 = 1

LCM(18,227) = ( 18 × 227 ) / 1

LCM(18,227) = 4086 / 1

LCM(18,227) = 4086


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 777/18, 1290/227

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 777/18, 1290/227?

Answer: GCF of Numerators as per given numbers 777/18, 1290/227 is

GCF of Numerators i.e. for 777,1290 is 3

LCM of denominators i.e. for 18,227 is 4086.

Thus, GCF of Fractions is 3/4086.Finally, GCF of Fractions for 777/18, 1290/227 is 3/4086.