GCD of 726, 324, 120, 543 Calculator

Given Input numbers are 726, 324, 120, 543

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 543

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

1, 3, 181, 543

Greatest Common Divisior

We found the divisors of 726, 324, 120, 543 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 324, 120, 543 is 3.

Therefore, GCD of numbers 726, 324, 120, 543 is 3

Given Input Data is 726, 324, 120, 543

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 543 is 3 x 181

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(726, 324) = 39204

GCD(726, 324) = ( 726 x 324 ) / 39204

GCD(726, 324) = 235224 / 39204

GCD(726, 324) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 120

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(6, 120) = 120

GCD(6, 120) = ( 6 x 120 ) / 120

GCD(6, 120) = 720 / 120

GCD(6, 120) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 543

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(6, 543) = 1086

GCD(6, 543) = ( 6 x 543 ) / 1086

GCD(6, 543) = 3258 / 1086

GCD(6, 543) = 3

GCD of 726, 324, 120, 543 is 3

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1. What is the GCD of 726, 324, 120, 543?

GCD of 726, 324, 120, 543 is 3

2. Where do I get the detailed procedure to find GCD of 726, 324, 120, 543?

You can find a detailed procedure to find GCD of 726, 324, 120, 543 on our page.

3. How to find GCD of 726, 324, 120, 543 on a calculator?

You can find the GCD of 726, 324, 120, 543 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.