Greatest Common Factor of 182/4989, 843/4199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 182/4989, 843/4199

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 182/4989,843/4199

Given fractions are 182/4989,843/4199

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 182,843

Greatest Common Factor of Numerators i.e. GCF of 182,843 is 1 .

LCM of Denominators means LCM of 4989,4199 as per the given fractions.

LCM of 4989,4199 is 20948811 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 182,843

GCF of Fractions 182/4989,843/4199 is 1/20948811

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

Greatest Common Factor of 182,843 By Matching Biggest Common Factor Method

Greatest Common Factor of 182,843 By Matching Biggest Common Factor Method

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Greatest Common Factor

We found the factors 182,843 . The biggest common factor number is the GCF number.
So the greatest common factor 182,843 is 1.

Lets's calculate LCM of 4989,4199

Given numbers has no common factors except 1. So, there LCM is their product i.e 20948811

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20948811

Therefore, the GCF of Fractions 182/4989,843/4199 is 1/20948811

Least Common Multiple of 4989,4199 with GCF Formula

Least Common Multiple of 4989,4199 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 4989,4199 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4989,4199) = 1

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

GCF(4989,4199) x common factors =1 x 1 = 1

LCM(4989,4199) = ( 4989 × 4199 ) / 1

LCM(4989,4199) = 20948811 / 1

LCM(4989,4199) = 20948811


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 182/4989, 843/4199

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 182/4989, 843/4199?

Answer: GCF of Numerators as per given numbers 182/4989, 843/4199 is

GCF of Numerators i.e. for 182,843 is 1

LCM of denominators i.e. for 4989,4199 is 20948811.

Thus, GCF of Fractions is 1/20948811.Finally, GCF of Fractions for 182/4989, 843/4199 is 1/20948811.