GCD of 20, 412, 396, 528 Calculator

Given Input numbers are 20, 412, 396, 528

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

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Greatest Common Divisior

We found the divisors of 20, 412, 396, 528 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 412, 396, 528 is 4.

Therefore, GCD of numbers 20, 412, 396, 528 is 4

Given Input Data is 20, 412, 396, 528

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(20, 412) = 2060

GCD(20, 412) = ( 20 x 412 ) / 2060

GCD(20, 412) = 8240 / 2060

GCD(20, 412) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 396

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

LCM(4, 396) = 396

GCD(4, 396) = ( 4 x 396 ) / 396

GCD(4, 396) = 1584 / 396

GCD(4, 396) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 528

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

LCM(4, 528) = 528

GCD(4, 528) = ( 4 x 528 ) / 528

GCD(4, 528) = 2112 / 528

GCD(4, 528) = 4

GCD of 20, 412, 396, 528 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 79, 265, 863, 869
• GCD of 75, 392, 888, 181
• GCD of 67, 968, 246, 682
• GCD of 77, 845, 947, 368
• GCD of 40, 872, 699, 113

1. What is the GCD of 20, 412, 396, 528?

GCD of 20, 412, 396, 528 is 4

2. Where do I get the detailed procedure to find GCD of 20, 412, 396, 528?

You can find a detailed procedure to find GCD of 20, 412, 396, 528 on our page.

3. How to find GCD of 20, 412, 396, 528 on a calculator?

You can find the GCD of 20, 412, 396, 528 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.