Greatest Common Factor of 4183/543, 6345/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4183/543, 6345/249

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 4183/543,6345/249

Given fractions are 4183/543,6345/249

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 4183,6345

Greatest Common Factor of Numerators i.e. GCF of 4183,6345 is 47 .

LCM of Denominators means LCM of 543,249 as per the given fractions.

LCM of 543,249 is 45069 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4183,6345

GCF of Fractions 4183/543,6345/249 is 47/45069

47 4183, 6345
89, 135

∴ So the GCF of the given numbers is 47 = 47

Greatest Common Factor of 4183,6345 By Matching Biggest Common Factor Method

Greatest Common Factor of 4183,6345 By Matching Biggest Common Factor Method

Factors of 4183

List of positive integer factors of 4183 that divides 4183 without a remainder.

1,47,89,4183

Factors of 6345

List of positive integer factors of 6345 that divides 6345 without a remainder.

1,3,5,9,15,27,45,47,135,141,235,423,705,1269,2115,6345

Greatest Common Factor

We found the factors 4183,6345 . The biggest common factor number is the GCF number.
So the greatest common factor 4183,6345 is 47.

Lets's calculate LCM of 543,249

3 543, 249
181, 83

∴ So the LCM of the given numbers is 3 x 181 x 83 = 45069

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/45069

Therefore, the GCF of Fractions 4183/543,6345/249 is 47/45069

Least Common Multiple of 543,249 with GCF Formula

Least Common Multiple of 543,249 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 543,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(543,249) = 3

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

GCF(543,249) x common factors =3 x 1 = 3

LCM(543,249) = ( 543 × 249 ) / 3

LCM(543,249) = 135207 / 3

LCM(543,249) = 45069


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 4183/543, 6345/249

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 4183/543, 6345/249?

Answer: GCF of Numerators as per given numbers 4183/543, 6345/249 is

GCF of Numerators i.e. for 4183,6345 is 47

LCM of denominators i.e. for 543,249 is 45069.

Thus, GCF of Fractions is 47/45069.Finally, GCF of Fractions for 4183/543, 6345/249 is 47/45069.