Greatest Common Factor of 806/57, 961/395

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 806/57, 961/395

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 806/57,961/395

Given fractions are 806/57,961/395

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 806,961

Greatest Common Factor of Numerators i.e. GCF of 806,961 is 31 .

LCM of Denominators means LCM of 57,395 as per the given fractions.

LCM of 57,395 is 22515 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 806,961

GCF of Fractions 806/57,961/395 is 31/22515

31 806, 961
26, 31

∴ So the GCF of the given numbers is 31 = 31

Greatest Common Factor of 806,961 By Matching Biggest Common Factor Method

Greatest Common Factor of 806,961 By Matching Biggest Common Factor Method

Factors of 806

List of positive integer factors of 806 that divides 806 without a remainder.

1,2,13,26,31,62,403,806

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Greatest Common Factor

We found the factors 806,961 . The biggest common factor number is the GCF number.
So the greatest common factor 806,961 is 31.

Lets's calculate LCM of 57,395

Given numbers has no common factors except 1. So, there LCM is their product i.e 22515

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/22515

Therefore, the GCF of Fractions 806/57,961/395 is 31/22515

Least Common Multiple of 57,395 with GCF Formula

Least Common Multiple of 57,395 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 57,395 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,395) = 1

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

GCF(57,395) x common factors =1 x 1 = 1

LCM(57,395) = ( 57 × 395 ) / 1

LCM(57,395) = 22515 / 1

LCM(57,395) = 22515


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 806/57, 961/395

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 806/57, 961/395?

Answer: GCF of Numerators as per given numbers 806/57, 961/395 is

GCF of Numerators i.e. for 806,961 is 31

LCM of denominators i.e. for 57,395 is 22515.

Thus, GCF of Fractions is 31/22515.Finally, GCF of Fractions for 806/57, 961/395 is 31/22515.