Greatest Common Factor of 796/681, 252/162, 715/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 796/681, 252/162, 715/198

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 796/681,252/162,715/198

Given fractions are 796/681,252/162,715/198

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 796,252,715

Greatest Common Factor of Numerators i.e. GCF of 796,252,715 is 1 .

LCM of Denominators means LCM of 681,162,198 as per the given fractions.

LCM of 681,162,198 is 404514 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 796,252,715

GCF of Fractions 796/681,252/162,715/198 is 1/404514

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

Greatest Common Factor of 796,252,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 796,252,715 By Matching Biggest Common Factor Method

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Greatest Common Factor

We found the factors 796,252,715 . The biggest common factor number is the GCF number.
So the greatest common factor 796,252,715 is 1.

Lets's calculate LCM of 681,162,198

2 681, 162, 198
3 681, 81, 99
3 227, 27, 33
227, 9, 11

∴ So the LCM of the given numbers is 2 x 3 x 3 x 227 x 9 x 11 = 404514

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/404514

Therefore, the GCF of Fractions 796/681,252/162,715/198 is 1/404514

Least Common Multiple of 681,162,198 with GCF Formula

Least Common Multiple of 681,162,198 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 681,162,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(681,162,198) = 3

common factors(in case of two or more numbers have common factors) = 18

GCF(681,162,198) x common factors =3 x 18 = 54

LCM(681,162,198) = ( 681 × 162 × 198 ) / 54

LCM(681,162,198) = 21843756 / 54

LCM(681,162,198) = 404514


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 796/681, 252/162, 715/198

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 796/681, 252/162, 715/198?

Answer: GCF of Numerators as per given numbers 796/681, 252/162, 715/198 is

GCF of Numerators i.e. for 796,252,715 is 1

LCM of denominators i.e. for 681,162,198 is 404514.

Thus, GCF of Fractions is 1/404514.Finally, GCF of Fractions for 796/681, 252/162, 715/198 is 1/404514.