Greatest Common Factor of 8084/493, 9873/8742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8084/493, 9873/8742

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 8084/493,9873/8742

Given fractions are 8084/493,9873/8742

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 8084,9873

Greatest Common Factor of Numerators i.e. GCF of 8084,9873 is 1 .

LCM of Denominators means LCM of 493,8742 as per the given fractions.

LCM of 493,8742 is 4309806 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8084,9873

GCF of Fractions 8084/493,9873/8742 is 1/4309806

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

Greatest Common Factor of 8084,9873 By Matching Biggest Common Factor Method

Greatest Common Factor of 8084,9873 By Matching Biggest Common Factor Method

Factors of 8084

List of positive integer factors of 8084 that divides 8084 without a remainder.

1,2,4,43,47,86,94,172,188,2021,4042,8084

Factors of 9873

List of positive integer factors of 9873 that divides 9873 without a remainder.

1,3,9,1097,3291,9873

Greatest Common Factor

We found the factors 8084,9873 . The biggest common factor number is the GCF number.
So the greatest common factor 8084,9873 is 1.

Lets's calculate LCM of 493,8742

Given numbers has no common factors except 1. So, there LCM is their product i.e 4309806

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4309806

Therefore, the GCF of Fractions 8084/493,9873/8742 is 1/4309806

Least Common Multiple of 493,8742 with GCF Formula

Least Common Multiple of 493,8742 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 493,8742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,8742) = 1

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

GCF(493,8742) x common factors =1 x 1 = 1

LCM(493,8742) = ( 493 × 8742 ) / 1

LCM(493,8742) = 4309806 / 1

LCM(493,8742) = 4309806


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 8084/493, 9873/8742

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 8084/493, 9873/8742?

Answer: GCF of Numerators as per given numbers 8084/493, 9873/8742 is

GCF of Numerators i.e. for 8084,9873 is 1

LCM of denominators i.e. for 493,8742 is 4309806.

Thus, GCF of Fractions is 1/4309806.Finally, GCF of Fractions for 8084/493, 9873/8742 is 1/4309806.