GCD of 72, 329, 527, 578 Calculator

Given Input numbers are 72, 329, 527, 578

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 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Greatest Common Divisior

We found the divisors of 72, 329, 527, 578 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 329, 527, 578 is 1.

Therefore, GCD of numbers 72, 329, 527, 578 is 1

Given Input Data is 72, 329, 527, 578

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 329 is 7 x 47

Prime Factorization of 527 is 17 x 31

Prime Factorization of 578 is 2 x 17 x 17

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, 329) = 23688

GCD(72, 329) = ( 72 x 329 ) / 23688

GCD(72, 329) = 23688 / 23688

GCD(72, 329) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 527

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

LCM(1, 527) = 527

GCD(1, 527) = ( 1 x 527 ) / 527

GCD(1, 527) = 527 / 527

GCD(1, 527) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 578

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

LCM(1, 578) = 578

GCD(1, 578) = ( 1 x 578 ) / 578

GCD(1, 578) = 578 / 578

GCD(1, 578) = 1

GCD of 72, 329, 527, 578 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 67, 581, 135, 759
• GCD of 67, 520, 884, 524
• GCD of 42, 824, 827, 457
• GCD of 40, 346, 276, 434
• GCD of 88, 909, 480, 530

1. What is the GCD of 72, 329, 527, 578?

GCD of 72, 329, 527, 578 is 1

2. Where do I get the detailed procedure to find GCD of 72, 329, 527, 578?

You can find a detailed procedure to find GCD of 72, 329, 527, 578 on our page.

3. How to find GCD of 72, 329, 527, 578 on a calculator?

You can find the GCD of 72, 329, 527, 578 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.