GCD of 800, 901, 864, 873 Calculator

Given Input numbers are 800, 901, 864, 873

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 901 :

The positive integer divisors of 901 that completely divides 901 are.

1, 17, 53, 901

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 873 :

The positive integer divisors of 873 that completely divides 873 are.

1, 3, 9, 97, 291, 873

GCD of numbers is the greatest common divisor

So, the GCD (800, 901, 864, 873) = 1.

Given numbers are 800, 901, 864, 873

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 901 are 17 x 53

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 873 are 3 x 3 x 97

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

Given numbers are 800, 901, 864, 873

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

Apply this formula for all numbers.

Step1:

LCM(800, 901) = 720800

GCD(800, 901) = ( 800 x 901 ) / 720800

= 800 / 901

= 800

Step2:

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

= 1 / 864

= 1

Step3:

LCM(1, 873) = 873

GCD(1, 873) = ( 1 x 873 ) / 873

= 1 / 873

= 1

So, Greatest Common Divisor of 800, 901, 864, 873 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 614, 566, 490, 386
• GCD of 432, 153, 277, 780
• GCD of 164, 891, 889, 466
• GCD of 801, 123, 118, 500
• GCD of 350, 474, 952, 413

Given numbers are 800, 901, 864, 873
The greatest common divisor of numbers 800, 901, 864, 873 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 901, 864, 873 is 1.

1. What is the GCD of 800, 901, 864, 873?

GCD of given numbers 800, 901, 864, 873 is 1

2. How to calculate the greatest common divisor of 800, 901, 864, 873?

We can find the highest common divisor of 800, 901, 864, 873 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 800, 901, 864, 873 i.e 1.

3. How can I use the GCD of 800, 901, 864, 873Calculator?

Out the numbers 800, 901, 864, 873 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.