GCD of 400, 585, 913, 561 Calculator

Given Input numbers are 400, 585, 913, 561

In the factoring method, we have to find the divisors of all numbers

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 913 :

The positive integer divisors of 913 that completely divides 913 are.

1, 11, 83, 913

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (400, 585, 913, 561) = 1.

Given numbers are 400, 585, 913, 561

The list of prime factors of all numbers are

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 913 are 11 x 83

Prime factors of 561 are 3 x 11 x 17

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 400, 585, 913, 561

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(400, 585) = 46800

GCD(400, 585) = ( 400 x 585 ) / 46800

= 400 / 585

= 400

Step2:

LCM(5, 913) = 4565

GCD(5, 913) = ( 5 x 913 ) / 4565

= 5 / 913

= 5

Step3:

LCM(1, 561) = 561

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

= 1 / 561

= 1

So, Greatest Common Divisor of 400, 585, 913, 561 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 205, 442, 264, 691
• GCD of 152, 685, 985, 344
• GCD of 953, 731, 722, 921
• GCD of 374, 578, 372, 630
• GCD of 358, 719, 645, 354

Given numbers are 400, 585, 913, 561
The greatest common divisor of numbers 400, 585, 913, 561 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 585, 913, 561 is 1.

1. What is the GCD of 400, 585, 913, 561?

GCD of given numbers 400, 585, 913, 561 is 1

2. How to calculate the greatest common divisor of 400, 585, 913, 561?

We can find the highest common divisor of 400, 585, 913, 561 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 400, 585, 913, 561 i.e 1.

3. How can I use the GCD of 400, 585, 913, 561Calculator?

Out the numbers 400, 585, 913, 561 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.