Greatest Common Factor of 409/81, 637/30, 196/72

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 409/81, 637/30, 196/72

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 409/81,637/30,196/72

Given fractions are 409/81,637/30,196/72

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 409,637,196

Greatest Common Factor of Numerators i.e. GCF of 409,637,196 is 1 .

LCM of Denominators means LCM of 81,30,72 as per the given fractions.

LCM of 81,30,72 is 3240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 409,637,196

GCF of Fractions 409/81,637/30,196/72 is 1/3240

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

Greatest Common Factor of 409,637,196 By Matching Biggest Common Factor Method

Greatest Common Factor of 409,637,196 By Matching Biggest Common Factor Method

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Factors of 637

List of positive integer factors of 637 that divides 637 without a remainder.

1,7,13,49,91,637

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Greatest Common Factor

We found the factors 409,637,196 . The biggest common factor number is the GCF number.
So the greatest common factor 409,637,196 is 1.

Lets's calculate LCM of 81,30,72

2 81, 30, 72
3 81, 15, 36
3 27, 5, 12
9, 5, 4

∴ So the LCM of the given numbers is 2 x 3 x 3 x 9 x 5 x 4 = 3240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3240

Therefore, the GCF of Fractions 409/81,637/30,196/72 is 1/3240

Least Common Multiple of 81,30,72 with GCF Formula

Least Common Multiple of 81,30,72 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 81,30,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,30,72) = 3

common factors(in case of two or more numbers have common factors) = 18

GCF(81,30,72) x common factors =3 x 18 = 54

LCM(81,30,72) = ( 81 × 30 × 72 ) / 54

LCM(81,30,72) = 174960 / 54

LCM(81,30,72) = 3240


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 409/81, 637/30, 196/72

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 409/81, 637/30, 196/72?

Answer: GCF of Numerators as per given numbers 409/81, 637/30, 196/72 is

GCF of Numerators i.e. for 409,637,196 is 1

LCM of denominators i.e. for 81,30,72 is 3240.

Thus, GCF of Fractions is 1/3240.Finally, GCF of Fractions for 409/81, 637/30, 196/72 is 1/3240.