GCD of 408, 973, 561 Calculator

Given Input numbers are 408, 973, 561

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 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Greatest Common Divisior

We found the divisors of 408, 973, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 973, 561 is 1.

Therefore, GCD of numbers 408, 973, 561 is 1

Given Input Data is 408, 973, 561

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 973 is 7 x 139

Prime Factorization of 561 is 3 x 11 x 17

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(408, 973) = 396984

GCD(408, 973) = ( 408 x 973 ) / 396984

GCD(408, 973) = 396984 / 396984

GCD(408, 973) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 561

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

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

GCD(1, 561) = 561 / 561

GCD(1, 561) = 1

GCD of 408, 973, 561 is 1

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1. What is the GCD of 408, 973, 561?

GCD of 408, 973, 561 is 1

2. Where do I get the detailed procedure to find GCD of 408, 973, 561?

You can find a detailed procedure to find GCD of 408, 973, 561 on our page.

3. How to find GCD of 408, 973, 561 on a calculator?

You can find the GCD of 408, 973, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.