Greatest Common Factor of 394/515, 8172/813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 394/515, 8172/813

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 394/515,8172/813

Given fractions are 394/515,8172/813

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 394,8172

Greatest Common Factor of Numerators i.e. GCF of 394,8172 is 2 .

LCM of Denominators means LCM of 515,813 as per the given fractions.

LCM of 515,813 is 418695 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 394,8172

GCF of Fractions 394/515,8172/813 is 2/418695

2 394, 8172
197, 4086

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

Greatest Common Factor of 394,8172 By Matching Biggest Common Factor Method

Greatest Common Factor of 394,8172 By Matching Biggest Common Factor Method

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Factors of 8172

List of positive integer factors of 8172 that divides 8172 without a remainder.

1,2,3,4,6,9,12,18,36,227,454,681,908,1362,2043,2724,4086,8172

Greatest Common Factor

We found the factors 394,8172 . The biggest common factor number is the GCF number.
So the greatest common factor 394,8172 is 2.

Lets's calculate LCM of 515,813

Given numbers has no common factors except 1. So, there LCM is their product i.e 418695

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/418695

Therefore, the GCF of Fractions 394/515,8172/813 is 2/418695

Least Common Multiple of 515,813 with GCF Formula

Least Common Multiple of 515,813 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 515,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(515,813) = 1

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

GCF(515,813) x common factors =1 x 1 = 1

LCM(515,813) = ( 515 × 813 ) / 1

LCM(515,813) = 418695 / 1

LCM(515,813) = 418695


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 394/515, 8172/813

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 394/515, 8172/813?

Answer: GCF of Numerators as per given numbers 394/515, 8172/813 is

GCF of Numerators i.e. for 394,8172 is 2

LCM of denominators i.e. for 515,813 is 418695.

Thus, GCF of Fractions is 2/418695.Finally, GCF of Fractions for 394/515, 8172/813 is 2/418695.