Greatest Common Factor of 28/71, 18/19, 494/729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 28/71, 18/19, 494/729

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 28/71,18/19,494/729

Given fractions are 28/71,18/19,494/729

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 28,18,494

Greatest Common Factor of Numerators i.e. GCF of 28,18,494 is 2 .

LCM of Denominators means LCM of 71,19,729 as per the given fractions.

LCM of 71,19,729 is 983421 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 28,18,494

GCF of Fractions 28/71,18/19,494/729 is 2/983421

2 28, 18, 494
14, 9, 247

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

Greatest Common Factor of 28,18,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,18,494 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 28,18,494 . The biggest common factor number is the GCF number.
So the greatest common factor 28,18,494 is 2.

Lets's calculate LCM of 71,19,729

Given numbers has no common factors except 1. So, there LCM is their product i.e 983421

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/983421

Therefore, the GCF of Fractions 28/71,18/19,494/729 is 2/983421

Least Common Multiple of 71,19,729 with GCF Formula

Least Common Multiple of 71,19,729 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 71,19,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,19,729) = 1

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

GCF(71,19,729) x common factors =1 x 1 = 1

LCM(71,19,729) = ( 71 × 19 × 729 ) / 1

LCM(71,19,729) = 983421 / 1

LCM(71,19,729) = 983421


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 28/71, 18/19, 494/729

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 28/71, 18/19, 494/729?

Answer: GCF of Numerators as per given numbers 28/71, 18/19, 494/729 is

GCF of Numerators i.e. for 28,18,494 is 2

LCM of denominators i.e. for 71,19,729 is 983421.

Thus, GCF of Fractions is 2/983421.Finally, GCF of Fractions for 28/71, 18/19, 494/729 is 2/983421.