Greatest Common Factor of 5821/95, 3886/935

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5821/95, 3886/935

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 5821/95,3886/935

Given fractions are 5821/95,3886/935

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 5821,3886

Greatest Common Factor of Numerators i.e. GCF of 5821,3886 is 1 .

LCM of Denominators means LCM of 95,935 as per the given fractions.

LCM of 95,935 is 17765 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5821,3886

GCF of Fractions 5821/95,3886/935 is 1/17765

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

Greatest Common Factor of 5821,3886 By Matching Biggest Common Factor Method

Greatest Common Factor of 5821,3886 By Matching Biggest Common Factor Method

Factors of 5821

List of positive integer factors of 5821 that divides 5821 without a remainder.

1,5821

Factors of 3886

List of positive integer factors of 3886 that divides 3886 without a remainder.

1,2,29,58,67,134,1943,3886

Greatest Common Factor

We found the factors 5821,3886 . The biggest common factor number is the GCF number.
So the greatest common factor 5821,3886 is 1.

Lets's calculate LCM of 95,935

5 95, 935
19, 187

∴ So the LCM of the given numbers is 5 x 19 x 187 = 17765

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17765

Therefore, the GCF of Fractions 5821/95,3886/935 is 1/17765

Least Common Multiple of 95,935 with GCF Formula

Least Common Multiple of 95,935 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 95,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,935) = 5

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

GCF(95,935) x common factors =5 x 1 = 5

LCM(95,935) = ( 95 × 935 ) / 5

LCM(95,935) = 88825 / 5

LCM(95,935) = 17765


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 5821/95, 3886/935

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 5821/95, 3886/935?

Answer: GCF of Numerators as per given numbers 5821/95, 3886/935 is

GCF of Numerators i.e. for 5821,3886 is 1

LCM of denominators i.e. for 95,935 is 17765.

Thus, GCF of Fractions is 1/17765.Finally, GCF of Fractions for 5821/95, 3886/935 is 1/17765.