GCD of 562, 408, 13, 890 Calculator

Given Input numbers are 562, 408, 13, 890

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

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

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 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Greatest Common Divisior

We found the divisors of 562, 408, 13, 890 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 562, 408, 13, 890 is 1.

Therefore, GCD of numbers 562, 408, 13, 890 is 1

Given Input Data is 562, 408, 13, 890

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

Prime Factorization of 562 is 2 x 281

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

Prime Factorization of 13 is 13

Prime Factorization of 890 is 2 x 5 x 89

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(562, 408) = 114648

GCD(562, 408) = ( 562 x 408 ) / 114648

GCD(562, 408) = 229296 / 114648

GCD(562, 408) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 13

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

LCM(2, 13) = 26

GCD(2, 13) = ( 2 x 13 ) / 26

GCD(2, 13) = 26 / 26

GCD(2, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 890

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

LCM(1, 890) = 890

GCD(1, 890) = ( 1 x 890 ) / 890

GCD(1, 890) = 890 / 890

GCD(1, 890) = 1

GCD of 562, 408, 13, 890 is 1

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• GCD of 225, 942, 56, 961
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1. What is the GCD of 562, 408, 13, 890?

GCD of 562, 408, 13, 890 is 1

2. Where do I get the detailed procedure to find GCD of 562, 408, 13, 890?

You can find a detailed procedure to find GCD of 562, 408, 13, 890 on our page.

3. How to find GCD of 562, 408, 13, 890 on a calculator?

You can find the GCD of 562, 408, 13, 890 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.