Greatest Common Factor of 1731/27, 1227/709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1731/27, 1227/709

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 1731/27,1227/709

Given fractions are 1731/27,1227/709

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 1731,1227

Greatest Common Factor of Numerators i.e. GCF of 1731,1227 is 3 .

LCM of Denominators means LCM of 27,709 as per the given fractions.

LCM of 27,709 is 19143 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1731,1227

GCF of Fractions 1731/27,1227/709 is 3/19143

3 1731, 1227
577, 409

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

Greatest Common Factor of 1731,1227 By Matching Biggest Common Factor Method

Greatest Common Factor of 1731,1227 By Matching Biggest Common Factor Method

Factors of 1731

List of positive integer factors of 1731 that divides 1731 without a remainder.

1,3,577,1731

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 1731,1227 . The biggest common factor number is the GCF number.
So the greatest common factor 1731,1227 is 3.

Lets's calculate LCM of 27,709

Given numbers has no common factors except 1. So, there LCM is their product i.e 19143

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/19143

Therefore, the GCF of Fractions 1731/27,1227/709 is 3/19143

Least Common Multiple of 27,709 with GCF Formula

Least Common Multiple of 27,709 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 27,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,709) = 1

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

GCF(27,709) x common factors =1 x 1 = 1

LCM(27,709) = ( 27 × 709 ) / 1

LCM(27,709) = 19143 / 1

LCM(27,709) = 19143


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 1731/27, 1227/709

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 1731/27, 1227/709?

Answer: GCF of Numerators as per given numbers 1731/27, 1227/709 is

GCF of Numerators i.e. for 1731,1227 is 3

LCM of denominators i.e. for 27,709 is 19143.

Thus, GCF of Fractions is 3/19143.Finally, GCF of Fractions for 1731/27, 1227/709 is 3/19143.