Greatest Common Factor of 8871/567, 8461/4389

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8871/567, 8461/4389

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 8871/567,8461/4389

Given fractions are 8871/567,8461/4389

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 8871,8461

Greatest Common Factor of Numerators i.e. GCF of 8871,8461 is 1 .

LCM of Denominators means LCM of 567,4389 as per the given fractions.

LCM of 567,4389 is 118503 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8871,8461

GCF of Fractions 8871/567,8461/4389 is 1/118503

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

Greatest Common Factor of 8871,8461 By Matching Biggest Common Factor Method

Greatest Common Factor of 8871,8461 By Matching Biggest Common Factor Method

Factors of 8871

List of positive integer factors of 8871 that divides 8871 without a remainder.

1,3,2957,8871

Factors of 8461

List of positive integer factors of 8461 that divides 8461 without a remainder.

1,8461

Greatest Common Factor

We found the factors 8871,8461 . The biggest common factor number is the GCF number.
So the greatest common factor 8871,8461 is 1.

Lets's calculate LCM of 567,4389

3 567, 4389
7 189, 1463
27, 209

∴ So the LCM of the given numbers is 3 x 7 x 27 x 209 = 118503

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/118503

Therefore, the GCF of Fractions 8871/567,8461/4389 is 1/118503

Least Common Multiple of 567,4389 with GCF Formula

Least Common Multiple of 567,4389 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 567,4389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(567,4389) = 21

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

GCF(567,4389) x common factors =21 x 1 = 21

LCM(567,4389) = ( 567 × 4389 ) / 21

LCM(567,4389) = 2488563 / 21

LCM(567,4389) = 118503


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 8871/567, 8461/4389

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 8871/567, 8461/4389?

Answer: GCF of Numerators as per given numbers 8871/567, 8461/4389 is

GCF of Numerators i.e. for 8871,8461 is 1

LCM of denominators i.e. for 567,4389 is 118503.

Thus, GCF of Fractions is 1/118503.Finally, GCF of Fractions for 8871/567, 8461/4389 is 1/118503.