Greatest Common Factor of 819/868, 195/707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 819/868, 195/707

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 819/868,195/707

Given fractions are 819/868,195/707

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 819,195

Greatest Common Factor of Numerators i.e. GCF of 819,195 is 39 .

LCM of Denominators means LCM of 868,707 as per the given fractions.

LCM of 868,707 is 87668 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 819,195

GCF of Fractions 819/868,195/707 is 39/87668

3 819, 195
13 273, 65
21, 5

∴ So the GCF of the given numbers is 3 x 13 = 39

Greatest Common Factor of 819,195 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,195 By Matching Biggest Common Factor Method

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Greatest Common Factor

We found the factors 819,195 . The biggest common factor number is the GCF number.
So the greatest common factor 819,195 is 39.

Lets's calculate LCM of 868,707

7 868, 707
124, 101

∴ So the LCM of the given numbers is 7 x 124 x 101 = 87668

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/87668

Therefore, the GCF of Fractions 819/868,195/707 is 39/87668

Least Common Multiple of 868,707 with GCF Formula

Least Common Multiple of 868,707 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 868,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(868,707) = 7

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

GCF(868,707) x common factors =7 x 1 = 7

LCM(868,707) = ( 868 × 707 ) / 7

LCM(868,707) = 613676 / 7

LCM(868,707) = 87668


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 819/868, 195/707

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 819/868, 195/707?

Answer: GCF of Numerators as per given numbers 819/868, 195/707 is

GCF of Numerators i.e. for 819,195 is 39

LCM of denominators i.e. for 868,707 is 87668.

Thus, GCF of Fractions is 39/87668.Finally, GCF of Fractions for 819/868, 195/707 is 39/87668.