Greatest Common Factor of 863/338, 194/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 863/338, 194/990

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 863/338,194/990

Given fractions are 863/338,194/990

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 863,194

Greatest Common Factor of Numerators i.e. GCF of 863,194 is 1 .

LCM of Denominators means LCM of 338,990 as per the given fractions.

LCM of 338,990 is 167310 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 863,194

GCF of Fractions 863/338,194/990 is 1/167310

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

Greatest Common Factor of 863,194 By Matching Biggest Common Factor Method

Greatest Common Factor of 863,194 By Matching Biggest Common Factor Method

Factors of 863

List of positive integer factors of 863 that divides 863 without a remainder.

1,863

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Greatest Common Factor

We found the factors 863,194 . The biggest common factor number is the GCF number.
So the greatest common factor 863,194 is 1.


Lets's calculate LCM of 338,990

2 338, 990
169, 495

∴ So the LCM of the given numbers is 2 x 169 x 495 = 167310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/167310

Therefore, the GCF of Fractions 863/338,194/990 is 1/167310

Least Common Multiple of 338,990 with GCF Formula

Least Common Multiple of 338,990 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 338,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,990) = 2

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

GCF(338,990) x common factors =2 x 1 = 2

LCM(338,990) = ( 338 × 990 ) / 2

LCM(338,990) = 334620 / 2

LCM(338,990) = 167310


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 863/338, 194/990

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 863/338, 194/990?

Answer: GCF of Numerators as per given numbers 863/338, 194/990 is

GCF of Numerators i.e. for 863,194 is 1

LCM of denominators i.e. for 338,990 is 167310.

Thus, GCF of Fractions is 1/167310.Finally, GCF of Fractions for 863/338, 194/990 is 1/167310.