Greatest Common Factor of 66/459, 20/827, 719/401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 66/459, 20/827, 719/401

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 66/459,20/827,719/401

Given fractions are 66/459,20/827,719/401

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 66,20,719

Greatest Common Factor of Numerators i.e. GCF of 66,20,719 is 1 .

LCM of Denominators means LCM of 459,827,401 as per the given fractions.

LCM of 459,827,401 is 152216793 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 66,20,719

GCF of Fractions 66/459,20/827,719/401 is 1/152216793

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

Greatest Common Factor of 66,20,719 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,20,719 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Greatest Common Factor

We found the factors 66,20,719 . The biggest common factor number is the GCF number.
So the greatest common factor 66,20,719 is 1.

Lets's calculate LCM of 459,827,401

Given numbers has no common factors except 1. So, there LCM is their product i.e 152216793

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/152216793

Therefore, the GCF of Fractions 66/459,20/827,719/401 is 1/152216793

Least Common Multiple of 459,827,401 with GCF Formula

Least Common Multiple of 459,827,401 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 459,827,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(459,827,401) = 1

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

GCF(459,827,401) x common factors =1 x 1 = 1

LCM(459,827,401) = ( 459 × 827 × 401 ) / 1

LCM(459,827,401) = 152216793 / 1

LCM(459,827,401) = 152216793


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 66/459, 20/827, 719/401

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 66/459, 20/827, 719/401?

Answer: GCF of Numerators as per given numbers 66/459, 20/827, 719/401 is

GCF of Numerators i.e. for 66,20,719 is 1

LCM of denominators i.e. for 459,827,401 is 152216793.

Thus, GCF of Fractions is 1/152216793.Finally, GCF of Fractions for 66/459, 20/827, 719/401 is 1/152216793.