GCD of 220, 436, 90, 324 Calculator

Given Input numbers are 220, 436, 90, 324

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

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

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 220, 436, 90, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 436, 90, 324 is 2.

Therefore, GCD of numbers 220, 436, 90, 324 is 2

Given Input Data is 220, 436, 90, 324

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

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 90 is 2 x 3 x 3 x 5

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(220, 436) = 23980

GCD(220, 436) = ( 220 x 436 ) / 23980

GCD(220, 436) = 95920 / 23980

GCD(220, 436) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 90

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

LCM(4, 90) = 180

GCD(4, 90) = ( 4 x 90 ) / 180

GCD(4, 90) = 360 / 180

GCD(4, 90) = 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 220, 436, 90, 324 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 180, 756, 83, 348
• GCD of 274, 550, 87, 497
• GCD of 282, 754, 41, 141
• GCD of 928, 135, 22, 767
• GCD of 718, 974, 44, 720

1. What is the GCD of 220, 436, 90, 324?

GCD of 220, 436, 90, 324 is 2

2. Where do I get the detailed procedure to find GCD of 220, 436, 90, 324?

You can find a detailed procedure to find GCD of 220, 436, 90, 324 on our page.

3. How to find GCD of 220, 436, 90, 324 on a calculator?

You can find the GCD of 220, 436, 90, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.