Greatest Common Factor of 420/19, 130/39, 213/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 420/19, 130/39, 213/792

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 420/19,130/39,213/792

Given fractions are 420/19,130/39,213/792

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 420,130,213

Greatest Common Factor of Numerators i.e. GCF of 420,130,213 is 1 .

LCM of Denominators means LCM of 19,39,792 as per the given fractions.

LCM of 19,39,792 is 195624 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 420,130,213

GCF of Fractions 420/19,130/39,213/792 is 1/195624

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

Greatest Common Factor of 420,130,213 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,130,213 By Matching Biggest Common Factor Method

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Greatest Common Factor

We found the factors 420,130,213 . The biggest common factor number is the GCF number.
So the greatest common factor 420,130,213 is 1.

Lets's calculate LCM of 19,39,792

3 19, 39, 792
19, 13, 264

∴ So the LCM of the given numbers is 3 x 19 x 13 x 264 = 195624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/195624

Therefore, the GCF of Fractions 420/19,130/39,213/792 is 1/195624

Least Common Multiple of 19,39,792 with GCF Formula

Least Common Multiple of 19,39,792 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 19,39,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,39,792) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(19,39,792) x common factors =1 x 3 = 3

LCM(19,39,792) = ( 19 × 39 × 792 ) / 3

LCM(19,39,792) = 586872 / 3

LCM(19,39,792) = 195624


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 420/19, 130/39, 213/792

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 420/19, 130/39, 213/792?

Answer: GCF of Numerators as per given numbers 420/19, 130/39, 213/792 is

GCF of Numerators i.e. for 420,130,213 is 1

LCM of denominators i.e. for 19,39,792 is 195624.

Thus, GCF of Fractions is 1/195624.Finally, GCF of Fractions for 420/19, 130/39, 213/792 is 1/195624.