GCD of 339, 412, 77, 512 Calculator

Given Input numbers are 339, 412, 77, 512

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

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

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 339, 412, 77, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 339, 412, 77, 512 is 1.

Therefore, GCD of numbers 339, 412, 77, 512 is 1

Given Input Data is 339, 412, 77, 512

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

Prime Factorization of 339 is 3 x 113

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 77 is 7 x 11

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(339, 412) = 139668

GCD(339, 412) = ( 339 x 412 ) / 139668

GCD(339, 412) = 139668 / 139668

GCD(339, 412) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 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 339, 412, 77, 512 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 907, 962, 25, 319
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• GCD of 253, 303, 40, 301

1. What is the GCD of 339, 412, 77, 512?

GCD of 339, 412, 77, 512 is 1

2. Where do I get the detailed procedure to find GCD of 339, 412, 77, 512?

You can find a detailed procedure to find GCD of 339, 412, 77, 512 on our page.

3. How to find GCD of 339, 412, 77, 512 on a calculator?

You can find the GCD of 339, 412, 77, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.