GCD of 462, 642, 572, 559 Calculator

Given Input numbers are 462, 642, 572, 559

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

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Greatest Common Divisior

We found the divisors of 462, 642, 572, 559 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 642, 572, 559 is 1.

Therefore, GCD of numbers 462, 642, 572, 559 is 1

Given Input Data is 462, 642, 572, 559

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

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 572 is 2 x 2 x 11 x 13

Prime Factorization of 559 is 13 x 43

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(462, 642) = 49434

GCD(462, 642) = ( 462 x 642 ) / 49434

GCD(462, 642) = 296604 / 49434

GCD(462, 642) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 572

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

LCM(6, 572) = 1716

GCD(6, 572) = ( 6 x 572 ) / 1716

GCD(6, 572) = 3432 / 1716

GCD(6, 572) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 559

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

LCM(2, 559) = 1118

GCD(2, 559) = ( 2 x 559 ) / 1118

GCD(2, 559) = 1118 / 1118

GCD(2, 559) = 1

GCD of 462, 642, 572, 559 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 453, 905, 601, 243
• GCD of 254, 483, 303, 219
• GCD of 684, 307, 836, 102
• GCD of 141, 928, 380, 163
• GCD of 422, 212, 666, 422

1. What is the GCD of 462, 642, 572, 559?

GCD of 462, 642, 572, 559 is 1

2. Where do I get the detailed procedure to find GCD of 462, 642, 572, 559?

You can find a detailed procedure to find GCD of 462, 642, 572, 559 on our page.

3. How to find GCD of 462, 642, 572, 559 on a calculator?

You can find the GCD of 462, 642, 572, 559 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.