Greatest Common Factor of 543/106, 642/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 543/106, 642/828

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 543/106,642/828

Given fractions are 543/106,642/828

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 543,642

Greatest Common Factor of Numerators i.e. GCF of 543,642 is 3 .

LCM of Denominators means LCM of 106,828 as per the given fractions.

LCM of 106,828 is 43884 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 543,642

GCF of Fractions 543/106,642/828 is 3/43884

3 543, 642
181, 214

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

Greatest Common Factor of 543,642 By Matching Biggest Common Factor Method

Greatest Common Factor of 543,642 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 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Greatest Common Factor

We found the factors 543,642 . The biggest common factor number is the GCF number.
So the greatest common factor 543,642 is 3.

Lets's calculate LCM of 106,828

2 106, 828
53, 414

∴ So the LCM of the given numbers is 2 x 53 x 414 = 43884

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/43884

Therefore, the GCF of Fractions 543/106,642/828 is 3/43884

Least Common Multiple of 106,828 with GCF Formula

Least Common Multiple of 106,828 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 106,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(106,828) = 2

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

GCF(106,828) x common factors =2 x 1 = 2

LCM(106,828) = ( 106 × 828 ) / 2

LCM(106,828) = 87768 / 2

LCM(106,828) = 43884


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 543/106, 642/828

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 543/106, 642/828?

Answer: GCF of Numerators as per given numbers 543/106, 642/828 is

GCF of Numerators i.e. for 543,642 is 3

LCM of denominators i.e. for 106,828 is 43884.

Thus, GCF of Fractions is 3/43884.Finally, GCF of Fractions for 543/106, 642/828 is 3/43884.