GCD of 512, 330, 59, 362 Calculator

Given Input numbers are 512, 330, 59, 362

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

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

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Greatest Common Divisior

We found the divisors of 512, 330, 59, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 330, 59, 362 is 1.

Therefore, GCD of numbers 512, 330, 59, 362 is 1

Given Input Data is 512, 330, 59, 362

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

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

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 59 is 59

Prime Factorization of 362 is 2 x 181

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(512, 330) = 84480

GCD(512, 330) = ( 512 x 330 ) / 84480

GCD(512, 330) = 168960 / 84480

GCD(512, 330) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 59

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

LCM(2, 59) = 118

GCD(2, 59) = ( 2 x 59 ) / 118

GCD(2, 59) = 118 / 118

GCD(2, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 362

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

LCM(1, 362) = 362

GCD(1, 362) = ( 1 x 362 ) / 362

GCD(1, 362) = 362 / 362

GCD(1, 362) = 1

GCD of 512, 330, 59, 362 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 763, 190, 56, 195
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• GCD of 841, 230, 56, 511
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• GCD of 385, 216, 56, 443

1. What is the GCD of 512, 330, 59, 362?

GCD of 512, 330, 59, 362 is 1

2. Where do I get the detailed procedure to find GCD of 512, 330, 59, 362?

You can find a detailed procedure to find GCD of 512, 330, 59, 362 on our page.

3. How to find GCD of 512, 330, 59, 362 on a calculator?

You can find the GCD of 512, 330, 59, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.