GCD of 432, 364, 20, 134 Calculator

Given Input numbers are 432, 364, 20, 134

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

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 20

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

1, 2, 4, 5, 10, 20

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Greatest Common Divisior

We found the divisors of 432, 364, 20, 134 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 364, 20, 134 is 2.

Therefore, GCD of numbers 432, 364, 20, 134 is 2

Given Input Data is 432, 364, 20, 134

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

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 134 is 2 x 67

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(432, 364) = 39312

GCD(432, 364) = ( 432 x 364 ) / 39312

GCD(432, 364) = 157248 / 39312

GCD(432, 364) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 20

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

LCM(4, 20) = 20

GCD(4, 20) = ( 4 x 20 ) / 20

GCD(4, 20) = 80 / 20

GCD(4, 20) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 134

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

LCM(4, 134) = 268

GCD(4, 134) = ( 4 x 134 ) / 268

GCD(4, 134) = 536 / 268

GCD(4, 134) = 2

GCD of 432, 364, 20, 134 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 701, 594, 22, 348
• GCD of 351, 657, 10, 859
• GCD of 927, 699, 18, 586
• GCD of 846, 885, 31, 618
• GCD of 167, 285, 90, 824

1. What is the GCD of 432, 364, 20, 134?

GCD of 432, 364, 20, 134 is 2

2. Where do I get the detailed procedure to find GCD of 432, 364, 20, 134?

You can find a detailed procedure to find GCD of 432, 364, 20, 134 on our page.

3. How to find GCD of 432, 364, 20, 134 on a calculator?

You can find the GCD of 432, 364, 20, 134 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.