GCD of 72, 436, 301, 512 Calculator

Given Input numbers are 72, 436, 301, 512

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

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 436

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

1, 2, 4, 109, 218, 436

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Greatest Common Divisior

We found the divisors of 72, 436, 301, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 436, 301, 512 is 1.

Therefore, GCD of numbers 72, 436, 301, 512 is 1

Given Input Data is 72, 436, 301, 512

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 301 is 7 x 43

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

The above numbers do not have any common prime factor. So GCD is 1

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(72, 436) = 7848

GCD(72, 436) = ( 72 x 436 ) / 7848

GCD(72, 436) = 31392 / 7848

GCD(72, 436) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 301

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

LCM(4, 301) = 1204

GCD(4, 301) = ( 4 x 301 ) / 1204

GCD(4, 301) = 1204 / 1204

GCD(4, 301) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 512

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

LCM(1, 512) = 512

GCD(1, 512) = ( 1 x 512 ) / 512

GCD(1, 512) = 512 / 512

GCD(1, 512) = 1

GCD of 72, 436, 301, 512 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 85, 939, 429, 598
• GCD of 89, 649, 668, 370
• GCD of 95, 812, 700, 759
• GCD of 83, 594, 842, 372
• GCD of 75, 780, 588, 152

1. What is the GCD of 72, 436, 301, 512?

GCD of 72, 436, 301, 512 is 1

2. Where do I get the detailed procedure to find GCD of 72, 436, 301, 512?

You can find a detailed procedure to find GCD of 72, 436, 301, 512 on our page.

3. How to find GCD of 72, 436, 301, 512 on a calculator?

You can find the GCD of 72, 436, 301, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.