Greatest Common Factor of 8201/67, 3031/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8201/67, 3031/822

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 8201/67,3031/822

Given fractions are 8201/67,3031/822

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 8201,3031

Greatest Common Factor of Numerators i.e. GCF of 8201,3031 is 1 .

LCM of Denominators means LCM of 67,822 as per the given fractions.

LCM of 67,822 is 55074 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8201,3031

GCF of Fractions 8201/67,3031/822 is 1/55074

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

Greatest Common Factor of 8201,3031 By Matching Biggest Common Factor Method

Greatest Common Factor of 8201,3031 By Matching Biggest Common Factor Method

Factors of 8201

List of positive integer factors of 8201 that divides 8201 without a remainder.

1,59,139,8201

Factors of 3031

List of positive integer factors of 3031 that divides 3031 without a remainder.

1,7,433,3031

Greatest Common Factor

We found the factors 8201,3031 . The biggest common factor number is the GCF number.
So the greatest common factor 8201,3031 is 1.

Lets's calculate LCM of 67,822

Given numbers has no common factors except 1. So, there LCM is their product i.e 55074

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55074

Therefore, the GCF of Fractions 8201/67,3031/822 is 1/55074

Least Common Multiple of 67,822 with GCF Formula

Least Common Multiple of 67,822 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 67,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,822) = 1

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

GCF(67,822) x common factors =1 x 1 = 1

LCM(67,822) = ( 67 × 822 ) / 1

LCM(67,822) = 55074 / 1

LCM(67,822) = 55074


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 8201/67, 3031/822

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 8201/67, 3031/822?

Answer: GCF of Numerators as per given numbers 8201/67, 3031/822 is

GCF of Numerators i.e. for 8201,3031 is 1

LCM of denominators i.e. for 67,822 is 55074.

Thus, GCF of Fractions is 1/55074.Finally, GCF of Fractions for 8201/67, 3031/822 is 1/55074.