Greatest Common Factor of 8334/488, 4702/5543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8334/488, 4702/5543

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 8334/488,4702/5543

Given fractions are 8334/488,4702/5543

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 8334,4702

Greatest Common Factor of Numerators i.e. GCF of 8334,4702 is 2 .

LCM of Denominators means LCM of 488,5543 as per the given fractions.

LCM of 488,5543 is 2704984 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8334,4702

GCF of Fractions 8334/488,4702/5543 is 2/2704984

2 8334, 4702
4167, 2351

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8334,4702 By Matching Biggest Common Factor Method

Greatest Common Factor of 8334,4702 By Matching Biggest Common Factor Method

Factors of 8334

List of positive integer factors of 8334 that divides 8334 without a remainder.

1,2,3,6,9,18,463,926,1389,2778,4167,8334

Factors of 4702

List of positive integer factors of 4702 that divides 4702 without a remainder.

1,2,2351,4702

Greatest Common Factor

We found the factors 8334,4702 . The biggest common factor number is the GCF number.
So the greatest common factor 8334,4702 is 2.

Lets's calculate LCM of 488,5543

Given numbers has no common factors except 1. So, there LCM is their product i.e 2704984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2704984

Therefore, the GCF of Fractions 8334/488,4702/5543 is 2/2704984

Least Common Multiple of 488,5543 with GCF Formula

Least Common Multiple of 488,5543 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 488,5543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,5543) = 1

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

GCF(488,5543) x common factors =1 x 1 = 1

LCM(488,5543) = ( 488 × 5543 ) / 1

LCM(488,5543) = 2704984 / 1

LCM(488,5543) = 2704984


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 8334/488, 4702/5543

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 8334/488, 4702/5543?

Answer: GCF of Numerators as per given numbers 8334/488, 4702/5543 is

GCF of Numerators i.e. for 8334,4702 is 2

LCM of denominators i.e. for 488,5543 is 2704984.

Thus, GCF of Fractions is 2/2704984.Finally, GCF of Fractions for 8334/488, 4702/5543 is 2/2704984.