Greatest Common Factor of 8159/727, 1394/797

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8159/727, 1394/797

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 8159/727,1394/797

Given fractions are 8159/727,1394/797

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 8159,1394

Greatest Common Factor of Numerators i.e. GCF of 8159,1394 is 41 .

LCM of Denominators means LCM of 727,797 as per the given fractions.

LCM of 727,797 is 579419 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8159,1394

GCF of Fractions 8159/727,1394/797 is 41/579419

41 8159, 1394
199, 34

∴ So the GCF of the given numbers is 41 = 41

Greatest Common Factor of 8159,1394 By Matching Biggest Common Factor Method

Greatest Common Factor of 8159,1394 By Matching Biggest Common Factor Method

Factors of 8159

List of positive integer factors of 8159 that divides 8159 without a remainder.

1,41,199,8159

Factors of 1394

List of positive integer factors of 1394 that divides 1394 without a remainder.

1,2,17,34,41,82,697,1394

Greatest Common Factor

We found the factors 8159,1394 . The biggest common factor number is the GCF number.
So the greatest common factor 8159,1394 is 41.

Lets's calculate LCM of 727,797

Given numbers has no common factors except 1. So, there LCM is their product i.e 579419

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/579419

Therefore, the GCF of Fractions 8159/727,1394/797 is 41/579419

Least Common Multiple of 727,797 with GCF Formula

Least Common Multiple of 727,797 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 727,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(727,797) = 1

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

GCF(727,797) x common factors =1 x 1 = 1

LCM(727,797) = ( 727 × 797 ) / 1

LCM(727,797) = 579419 / 1

LCM(727,797) = 579419


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 8159/727, 1394/797

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 8159/727, 1394/797?

Answer: GCF of Numerators as per given numbers 8159/727, 1394/797 is

GCF of Numerators i.e. for 8159,1394 is 41

LCM of denominators i.e. for 727,797 is 579419.

Thus, GCF of Fractions is 41/579419.Finally, GCF of Fractions for 8159/727, 1394/797 is 41/579419.