Greatest Common Factor of 8071/462, 5491/9844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8071/462, 5491/9844

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 8071/462,5491/9844

Given fractions are 8071/462,5491/9844

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 8071,5491

Greatest Common Factor of Numerators i.e. GCF of 8071,5491 is 1 .

LCM of Denominators means LCM of 462,9844 as per the given fractions.

LCM of 462,9844 is 2273964 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8071,5491

GCF of Fractions 8071/462,5491/9844 is 1/2273964

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

Greatest Common Factor of 8071,5491 By Matching Biggest Common Factor Method

Greatest Common Factor of 8071,5491 By Matching Biggest Common Factor Method

Factors of 8071

List of positive integer factors of 8071 that divides 8071 without a remainder.

1,7,1153,8071

Factors of 5491

List of positive integer factors of 5491 that divides 5491 without a remainder.

1,17,19,289,323,5491

Greatest Common Factor

We found the factors 8071,5491 . The biggest common factor number is the GCF number.
So the greatest common factor 8071,5491 is 1.

Lets's calculate LCM of 462,9844

2 462, 9844
231, 4922

∴ So the LCM of the given numbers is 2 x 231 x 4922 = 2273964

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2273964

Therefore, the GCF of Fractions 8071/462,5491/9844 is 1/2273964

Least Common Multiple of 462,9844 with GCF Formula

Least Common Multiple of 462,9844 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 462,9844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,9844) = 2

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

GCF(462,9844) x common factors =2 x 1 = 2

LCM(462,9844) = ( 462 × 9844 ) / 2

LCM(462,9844) = 4547928 / 2

LCM(462,9844) = 2273964


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 8071/462, 5491/9844

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 8071/462, 5491/9844?

Answer: GCF of Numerators as per given numbers 8071/462, 5491/9844 is

GCF of Numerators i.e. for 8071,5491 is 1

LCM of denominators i.e. for 462,9844 is 2273964.

Thus, GCF of Fractions is 1/2273964.Finally, GCF of Fractions for 8071/462, 5491/9844 is 1/2273964.