Greatest Common Factor of 794/215, 512/566, 474/817

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 794/215, 512/566, 474/817

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 794/215,512/566,474/817

Given fractions are 794/215,512/566,474/817

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 794,512,474

Greatest Common Factor of Numerators i.e. GCF of 794,512,474 is 2 .

LCM of Denominators means LCM of 215,566,817 as per the given fractions.

LCM of 215,566,817 is 2312110 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 794,512,474

GCF of Fractions 794/215,512/566,474/817 is 2/2312110

2 794, 512, 474
397, 256, 237

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

Greatest Common Factor of 794,512,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 794,512,474 By Matching Biggest Common Factor Method

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 474

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

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

Greatest Common Factor

We found the factors 794,512,474 . The biggest common factor number is the GCF number.
So the greatest common factor 794,512,474 is 2.

Lets's calculate LCM of 215,566,817

43 215, 566, 817
5, 566, 19

∴ So the LCM of the given numbers is 43 x 5 x 566 x 19 = 2312110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2312110

Therefore, the GCF of Fractions 794/215,512/566,474/817 is 2/2312110

Least Common Multiple of 215,566,817 with GCF Formula

Least Common Multiple of 215,566,817 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 215,566,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(215,566,817) = 1

common factors(in case of two or more numbers have common factors) = 43

GCF(215,566,817) x common factors =1 x 43 = 43

LCM(215,566,817) = ( 215 × 566 × 817 ) / 43

LCM(215,566,817) = 99420730 / 43

LCM(215,566,817) = 2312110


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 794/215, 512/566, 474/817

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 794/215, 512/566, 474/817?

Answer: GCF of Numerators as per given numbers 794/215, 512/566, 474/817 is

GCF of Numerators i.e. for 794,512,474 is 2

LCM of denominators i.e. for 215,566,817 is 2312110.

Thus, GCF of Fractions is 2/2312110.Finally, GCF of Fractions for 794/215, 512/566, 474/817 is 2/2312110.