GCD of 72, 804, 514, 511 Calculator

Given Input numbers are 72, 804, 514, 511

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 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 511

List of positive integer divisors of 511 that divides 511 without a remainder.

1, 7, 73, 511

Greatest Common Divisior

We found the divisors of 72, 804, 514, 511 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 804, 514, 511 is 1.

Therefore, GCD of numbers 72, 804, 514, 511 is 1

Given Input Data is 72, 804, 514, 511

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 804 is 2 x 2 x 3 x 67

Prime Factorization of 514 is 2 x 257

Prime Factorization of 511 is 7 x 73

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, 804) = 4824

GCD(72, 804) = ( 72 x 804 ) / 4824

GCD(72, 804) = 57888 / 4824

GCD(72, 804) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 514

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

LCM(12, 514) = 3084

GCD(12, 514) = ( 12 x 514 ) / 3084

GCD(12, 514) = 6168 / 3084

GCD(12, 514) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 511

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

LCM(2, 511) = 1022

GCD(2, 511) = ( 2 x 511 ) / 1022

GCD(2, 511) = 1022 / 1022

GCD(2, 511) = 1

GCD of 72, 804, 514, 511 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 47, 809, 128, 501
• GCD of 41, 468, 240, 880
• GCD of 67, 396, 308, 579
• GCD of 45, 449, 426, 732
• GCD of 27, 548, 646, 553

1. What is the GCD of 72, 804, 514, 511?

GCD of 72, 804, 514, 511 is 1

2. Where do I get the detailed procedure to find GCD of 72, 804, 514, 511?

You can find a detailed procedure to find GCD of 72, 804, 514, 511 on our page.

3. How to find GCD of 72, 804, 514, 511 on a calculator?

You can find the GCD of 72, 804, 514, 511 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.