GCD of 424, 355, 402, 512 Calculator

Given Input numbers are 424, 355, 402, 512

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

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

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 424, 355, 402, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 355, 402, 512 is 1.

Therefore, GCD of numbers 424, 355, 402, 512 is 1

Given Input Data is 424, 355, 402, 512

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

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 355 is 5 x 71

Prime Factorization of 402 is 2 x 3 x 67

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(424, 355) = 150520

GCD(424, 355) = ( 424 x 355 ) / 150520

GCD(424, 355) = 150520 / 150520

GCD(424, 355) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 402

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

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

GCD(1, 402) = 402 / 402

GCD(1, 402) = 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 424, 355, 402, 512 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 518, 151, 380, 472
• GCD of 594, 861, 467, 609
• GCD of 413, 191, 624, 222
• GCD of 254, 640, 588, 999
• GCD of 807, 105, 246, 401

1. What is the GCD of 424, 355, 402, 512?

GCD of 424, 355, 402, 512 is 1

2. Where do I get the detailed procedure to find GCD of 424, 355, 402, 512?

You can find a detailed procedure to find GCD of 424, 355, 402, 512 on our page.

3. How to find GCD of 424, 355, 402, 512 on a calculator?

You can find the GCD of 424, 355, 402, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.