Greatest Common Factor of 543/101, 8304/2034

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 543/101, 8304/2034

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 543/101,8304/2034

Given fractions are 543/101,8304/2034

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 543,8304

Greatest Common Factor of Numerators i.e. GCF of 543,8304 is 3 .

LCM of Denominators means LCM of 101,2034 as per the given fractions.

LCM of 101,2034 is 205434 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 543,8304

GCF of Fractions 543/101,8304/2034 is 3/205434

3 543, 8304
181, 2768

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 543,8304 By Matching Biggest Common Factor Method

Greatest Common Factor of 543,8304 By Matching Biggest Common Factor Method

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Factors of 8304

List of positive integer factors of 8304 that divides 8304 without a remainder.

1,2,3,4,6,8,12,16,24,48,173,346,519,692,1038,1384,2076,2768,4152,8304

Greatest Common Factor

We found the factors 543,8304 . The biggest common factor number is the GCF number.
So the greatest common factor 543,8304 is 3.

Lets's calculate LCM of 101,2034

Given numbers has no common factors except 1. So, there LCM is their product i.e 205434

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/205434

Therefore, the GCF of Fractions 543/101,8304/2034 is 3/205434

Least Common Multiple of 101,2034 with GCF Formula

Least Common Multiple of 101,2034 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 101,2034 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(101,2034) = 1

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

GCF(101,2034) x common factors =1 x 1 = 1

LCM(101,2034) = ( 101 × 2034 ) / 1

LCM(101,2034) = 205434 / 1

LCM(101,2034) = 205434


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 543/101, 8304/2034

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 543/101, 8304/2034?

Answer: GCF of Numerators as per given numbers 543/101, 8304/2034 is

GCF of Numerators i.e. for 543,8304 is 3

LCM of denominators i.e. for 101,2034 is 205434.

Thus, GCF of Fractions is 3/205434.Finally, GCF of Fractions for 543/101, 8304/2034 is 3/205434.