Greatest Common Factor of 4227/209, 1227/3672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4227/209, 1227/3672

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 4227/209,1227/3672

Given fractions are 4227/209,1227/3672

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 4227,1227

Greatest Common Factor of Numerators i.e. GCF of 4227,1227 is 3 .

LCM of Denominators means LCM of 209,3672 as per the given fractions.

LCM of 209,3672 is 767448 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4227,1227

GCF of Fractions 4227/209,1227/3672 is 3/767448

3 4227, 1227
1409, 409

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

Greatest Common Factor of 4227,1227 By Matching Biggest Common Factor Method

Greatest Common Factor of 4227,1227 By Matching Biggest Common Factor Method

Factors of 4227

List of positive integer factors of 4227 that divides 4227 without a remainder.

1,3,1409,4227

Factors of 1227

List of positive integer factors of 1227 that divides 1227 without a remainder.

1,3,409,1227

Greatest Common Factor

We found the factors 4227,1227 . The biggest common factor number is the GCF number.
So the greatest common factor 4227,1227 is 3.

Lets's calculate LCM of 209,3672

Given numbers has no common factors except 1. So, there LCM is their product i.e 767448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/767448

Therefore, the GCF of Fractions 4227/209,1227/3672 is 3/767448

Least Common Multiple of 209,3672 with GCF Formula

Least Common Multiple of 209,3672 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 209,3672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(209,3672) = 1

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

GCF(209,3672) x common factors =1 x 1 = 1

LCM(209,3672) = ( 209 × 3672 ) / 1

LCM(209,3672) = 767448 / 1

LCM(209,3672) = 767448


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 4227/209, 1227/3672

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 4227/209, 1227/3672?

Answer: GCF of Numerators as per given numbers 4227/209, 1227/3672 is

GCF of Numerators i.e. for 4227,1227 is 3

LCM of denominators i.e. for 209,3672 is 767448.

Thus, GCF of Fractions is 3/767448.Finally, GCF of Fractions for 4227/209, 1227/3672 is 3/767448.