Greatest Common Factor of 474/16, 367/26, 519/593

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 474/16, 367/26, 519/593

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 474/16,367/26,519/593

Given fractions are 474/16,367/26,519/593

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 474,367,519

Greatest Common Factor of Numerators i.e. GCF of 474,367,519 is 1 .

LCM of Denominators means LCM of 16,26,593 as per the given fractions.

LCM of 16,26,593 is 123344 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 474,367,519

GCF of Fractions 474/16,367/26,519/593 is 1/123344

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

Greatest Common Factor of 474,367,519 By Matching Biggest Common Factor Method

Greatest Common Factor of 474,367,519 By Matching Biggest Common Factor Method

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Greatest Common Factor

We found the factors 474,367,519 . The biggest common factor number is the GCF number.
So the greatest common factor 474,367,519 is 1.

Lets's calculate LCM of 16,26,593

2 16, 26, 593
8, 13, 593

∴ So the LCM of the given numbers is 2 x 8 x 13 x 593 = 123344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/123344

Therefore, the GCF of Fractions 474/16,367/26,519/593 is 1/123344

Least Common Multiple of 16,26,593 with GCF Formula

Least Common Multiple of 16,26,593 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 16,26,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,26,593) = 1

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

GCF(16,26,593) x common factors =1 x 2 = 2

LCM(16,26,593) = ( 16 × 26 × 593 ) / 2

LCM(16,26,593) = 246688 / 2

LCM(16,26,593) = 123344


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 474/16, 367/26, 519/593

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 474/16, 367/26, 519/593?

Answer: GCF of Numerators as per given numbers 474/16, 367/26, 519/593 is

GCF of Numerators i.e. for 474,367,519 is 1

LCM of denominators i.e. for 16,26,593 is 123344.

Thus, GCF of Fractions is 1/123344.Finally, GCF of Fractions for 474/16, 367/26, 519/593 is 1/123344.