Greatest Common Factor of 806/26, 928/59, 418/329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 806/26, 928/59, 418/329

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 806/26,928/59,418/329

Given fractions are 806/26,928/59,418/329

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 806,928,418

Greatest Common Factor of Numerators i.e. GCF of 806,928,418 is 2 .

LCM of Denominators means LCM of 26,59,329 as per the given fractions.

LCM of 26,59,329 is 504686 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 806,928,418

GCF of Fractions 806/26,928/59,418/329 is 2/504686

2 806, 928, 418
403, 464, 209

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 806,928,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 806,928,418 By Matching Biggest Common Factor Method

Factors of 806

List of positive integer factors of 806 that divides 806 without a remainder.

1,2,13,26,31,62,403,806

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 806,928,418 . The biggest common factor number is the GCF number.
So the greatest common factor 806,928,418 is 2.

Lets's calculate LCM of 26,59,329

Given numbers has no common factors except 1. So, there LCM is their product i.e 504686

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/504686

Therefore, the GCF of Fractions 806/26,928/59,418/329 is 2/504686

Least Common Multiple of 26,59,329 with GCF Formula

Least Common Multiple of 26,59,329 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 26,59,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,59,329) = 1

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

GCF(26,59,329) x common factors =1 x 1 = 1

LCM(26,59,329) = ( 26 × 59 × 329 ) / 1

LCM(26,59,329) = 504686 / 1

LCM(26,59,329) = 504686


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 806/26, 928/59, 418/329

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 806/26, 928/59, 418/329?

Answer: GCF of Numerators as per given numbers 806/26, 928/59, 418/329 is

GCF of Numerators i.e. for 806,928,418 is 2

LCM of denominators i.e. for 26,59,329 is 504686.

Thus, GCF of Fractions is 2/504686.Finally, GCF of Fractions for 806/26, 928/59, 418/329 is 2/504686.