GCD of 872, 600, 37, 561 Calculator

Given Input numbers are 872, 600, 37, 561

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

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 37 :

The positive integer divisors of 37 that completely divides 37 are.

1, 37

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 (872, 600, 37, 561) = 1.

Given numbers are 872, 600, 37, 561

The list of prime factors of all numbers are

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 37 are 37

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 872, 600, 37, 561

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

Apply this formula for all numbers.

Step1:

LCM(872, 600) = 65400

GCD(872, 600) = ( 872 x 600 ) / 65400

= 872 / 600

= 872

Step2:

LCM(8, 37) = 296

GCD(8, 37) = ( 8 x 37 ) / 296

= 8 / 37

= 8

Step3:

LCM(1, 561) = 561

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

= 1 / 561

= 1

So, Greatest Common Divisor of 872, 600, 37, 561 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 667, 819, 71, 266
• GCD of 630, 576, 14, 926
• GCD of 530, 787, 97, 488
• GCD of 770, 845, 79, 509
• GCD of 360, 713, 30, 803

Given numbers are 872, 600, 37, 561
The greatest common divisor of numbers 872, 600, 37, 561 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 600, 37, 561 is 1.

1. What is the GCD of 872, 600, 37, 561?

GCD of given numbers 872, 600, 37, 561 is 1

2. How to calculate the greatest common divisor of 872, 600, 37, 561?

We can find the highest common divisor of 872, 600, 37, 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 872, 600, 37, 561 i.e 1.

3. How can I use the GCD of 872, 600, 37, 561Calculator?

Out the numbers 872, 600, 37, 561 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.