Greatest Common Factor of 543/36, 380/93, 106/108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 543/36, 380/93, 106/108

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 543/36,380/93,106/108

Given fractions are 543/36,380/93,106/108

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 543,380,106

Greatest Common Factor of Numerators i.e. GCF of 543,380,106 is 1 .

LCM of Denominators means LCM of 36,93,108 as per the given fractions.

LCM of 36,93,108 is 3348 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 543,380,106

GCF of Fractions 543/36,380/93,106/108 is 1/3348

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

Greatest Common Factor of 543,380,106 By Matching Biggest Common Factor Method

Greatest Common Factor of 543,380,106 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 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Greatest Common Factor

We found the factors 543,380,106 . The biggest common factor number is the GCF number.
So the greatest common factor 543,380,106 is 1.

Lets's calculate LCM of 36,93,108

2 36, 93, 108
2 18, 93, 54
3 9, 93, 27
3 3, 31, 9
1, 31, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 31 x 3 = 3348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3348

Therefore, the GCF of Fractions 543/36,380/93,106/108 is 1/3348

Least Common Multiple of 36,93,108 with GCF Formula

Least Common Multiple of 36,93,108 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 36,93,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,93,108) = 3

common factors(in case of two or more numbers have common factors) = 36

GCF(36,93,108) x common factors =3 x 36 = 108

LCM(36,93,108) = ( 36 × 93 × 108 ) / 108

LCM(36,93,108) = 361584 / 108

LCM(36,93,108) = 3348


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 543/36, 380/93, 106/108

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 543/36, 380/93, 106/108?

Answer: GCF of Numerators as per given numbers 543/36, 380/93, 106/108 is

GCF of Numerators i.e. for 543,380,106 is 1

LCM of denominators i.e. for 36,93,108 is 3348.

Thus, GCF of Fractions is 1/3348.Finally, GCF of Fractions for 543/36, 380/93, 106/108 is 1/3348.