Greatest Common Factor of 506/338, 996/974, 409/872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 506/338, 996/974, 409/872

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 506/338,996/974,409/872

Given fractions are 506/338,996/974,409/872

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 506,996,409

Greatest Common Factor of Numerators i.e. GCF of 506,996,409 is 1 .

LCM of Denominators means LCM of 338,974,872 as per the given fractions.

LCM of 338,974,872 is 71768216 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 506,996,409

GCF of Fractions 506/338,996/974,409/872 is 1/71768216

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

Greatest Common Factor of 506,996,409 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,996,409 By Matching Biggest Common Factor Method

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Factors of 409

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

1,409

Greatest Common Factor

We found the factors 506,996,409 . The biggest common factor number is the GCF number.
So the greatest common factor 506,996,409 is 1.

Lets's calculate LCM of 338,974,872

2 338, 974, 872
169, 487, 436

∴ So the LCM of the given numbers is 2 x 169 x 487 x 436 = 71768216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71768216

Therefore, the GCF of Fractions 506/338,996/974,409/872 is 1/71768216

Least Common Multiple of 338,974,872 with GCF Formula

Least Common Multiple of 338,974,872 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 338,974,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,974,872) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(338,974,872) x common factors =2 x 2 = 4

LCM(338,974,872) = ( 338 × 974 × 872 ) / 4

LCM(338,974,872) = 287072864 / 4

LCM(338,974,872) = 71768216


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 506/338, 996/974, 409/872

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 506/338, 996/974, 409/872?

Answer: GCF of Numerators as per given numbers 506/338, 996/974, 409/872 is

GCF of Numerators i.e. for 506,996,409 is 1

LCM of denominators i.e. for 338,974,872 is 71768216.

Thus, GCF of Fractions is 1/71768216.Finally, GCF of Fractions for 506/338, 996/974, 409/872 is 1/71768216.