GCD of 36, 546, 128, 324 Calculator

Given Input numbers are 36, 546, 128, 324

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

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

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

Greatest Common Divisior

We found the divisors of 36, 546, 128, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 546, 128, 324 is 2.

Therefore, GCD of numbers 36, 546, 128, 324 is 2

Given Input Data is 36, 546, 128, 324

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(36, 546) = 3276

GCD(36, 546) = ( 36 x 546 ) / 3276

GCD(36, 546) = 19656 / 3276

GCD(36, 546) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 128

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

LCM(6, 128) = 384

GCD(6, 128) = ( 6 x 128 ) / 384

GCD(6, 128) = 768 / 384

GCD(6, 128) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 324

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

LCM(2, 324) = 324

GCD(2, 324) = ( 2 x 324 ) / 324

GCD(2, 324) = 648 / 324

GCD(2, 324) = 2

GCD of 36, 546, 128, 324 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 14, 305, 964, 160
• GCD of 58, 240, 294, 870
• GCD of 37, 804, 851, 891
• GCD of 10, 855, 756, 339
• GCD of 85, 632, 150, 888

1. What is the GCD of 36, 546, 128, 324?

GCD of 36, 546, 128, 324 is 2

2. Where do I get the detailed procedure to find GCD of 36, 546, 128, 324?

You can find a detailed procedure to find GCD of 36, 546, 128, 324 on our page.

3. How to find GCD of 36, 546, 128, 324 on a calculator?

You can find the GCD of 36, 546, 128, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.