GCD of 408, 564, 42, 570 Calculator

Given Input numbers are 408, 564, 42, 570

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

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Greatest Common Divisior

We found the divisors of 408, 564, 42, 570 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 564, 42, 570 is 6.

Therefore, GCD of numbers 408, 564, 42, 570 is 6

Given Input Data is 408, 564, 42, 570

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

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 570 is 2 x 3 x 5 x 19

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(408, 564) = 19176

GCD(408, 564) = ( 408 x 564 ) / 19176

GCD(408, 564) = 230112 / 19176

GCD(408, 564) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 42

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

LCM(12, 42) = 84

GCD(12, 42) = ( 12 x 42 ) / 84

GCD(12, 42) = 504 / 84

GCD(12, 42) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 570

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

LCM(6, 570) = 570

GCD(6, 570) = ( 6 x 570 ) / 570

GCD(6, 570) = 3420 / 570

GCD(6, 570) = 6

GCD of 408, 564, 42, 570 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 276, 114, 29, 518
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• GCD of 221, 207, 89, 720
• GCD of 372, 741, 87, 397
• GCD of 118, 814, 71, 540

1. What is the GCD of 408, 564, 42, 570?

GCD of 408, 564, 42, 570 is 6

2. Where do I get the detailed procedure to find GCD of 408, 564, 42, 570?

You can find a detailed procedure to find GCD of 408, 564, 42, 570 on our page.

3. How to find GCD of 408, 564, 42, 570 on a calculator?

You can find the GCD of 408, 564, 42, 570 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.