Greatest Common Factor of 796/27, 197/62, 676/193

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 796/27, 197/62, 676/193

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 796/27,197/62,676/193

Given fractions are 796/27,197/62,676/193

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 796,197,676

Greatest Common Factor of Numerators i.e. GCF of 796,197,676 is 1 .

LCM of Denominators means LCM of 27,62,193 as per the given fractions.

LCM of 27,62,193 is 323082 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 796,197,676

GCF of Fractions 796/27,197/62,676/193 is 1/323082

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

Greatest Common Factor of 796,197,676 By Matching Biggest Common Factor Method

Greatest Common Factor of 796,197,676 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 197

List of positive integer factors of 197 that divides 197 without a remainder.

1,197

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Greatest Common Factor

We found the factors 796,197,676 . The biggest common factor number is the GCF number.
So the greatest common factor 796,197,676 is 1.

Lets's calculate LCM of 27,62,193

Given numbers has no common factors except 1. So, there LCM is their product i.e 323082

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/323082

Therefore, the GCF of Fractions 796/27,197/62,676/193 is 1/323082

Least Common Multiple of 27,62,193 with GCF Formula

Least Common Multiple of 27,62,193 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 27,62,193 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,62,193) = 1

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

GCF(27,62,193) x common factors =1 x 1 = 1

LCM(27,62,193) = ( 27 × 62 × 193 ) / 1

LCM(27,62,193) = 323082 / 1

LCM(27,62,193) = 323082


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 796/27, 197/62, 676/193

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 796/27, 197/62, 676/193?

Answer: GCF of Numerators as per given numbers 796/27, 197/62, 676/193 is

GCF of Numerators i.e. for 796,197,676 is 1

LCM of denominators i.e. for 27,62,193 is 323082.

Thus, GCF of Fractions is 1/323082.Finally, GCF of Fractions for 796/27, 197/62, 676/193 is 1/323082.