Greatest Common Factor of 54/19, 69/831, 990/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 54/19, 69/831, 990/814

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 54/19,69/831,990/814

Given fractions are 54/19,69/831,990/814

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 54,69,990

Greatest Common Factor of Numerators i.e. GCF of 54,69,990 is 3 .

LCM of Denominators means LCM of 19,831,814 as per the given fractions.

LCM of 19,831,814 is 12852246 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 54,69,990

GCF of Fractions 54/19,69/831,990/814 is 3/12852246

3 54, 69, 990
18, 23, 330

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

Greatest Common Factor of 54,69,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,69,990 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Greatest Common Factor

We found the factors 54,69,990 . The biggest common factor number is the GCF number.
So the greatest common factor 54,69,990 is 3.

Lets's calculate LCM of 19,831,814

Given numbers has no common factors except 1. So, there LCM is their product i.e 12852246

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/12852246

Therefore, the GCF of Fractions 54/19,69/831,990/814 is 3/12852246

Least Common Multiple of 19,831,814 with GCF Formula

Least Common Multiple of 19,831,814 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 19,831,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,831,814) = 1

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

GCF(19,831,814) x common factors =1 x 1 = 1

LCM(19,831,814) = ( 19 × 831 × 814 ) / 1

LCM(19,831,814) = 12852246 / 1

LCM(19,831,814) = 12852246


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 54/19, 69/831, 990/814

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 54/19, 69/831, 990/814?

Answer: GCF of Numerators as per given numbers 54/19, 69/831, 990/814 is

GCF of Numerators i.e. for 54,69,990 is 3

LCM of denominators i.e. for 19,831,814 is 12852246.

Thus, GCF of Fractions is 3/12852246.Finally, GCF of Fractions for 54/19, 69/831, 990/814 is 3/12852246.