GCD of 400, 864, 809, 903 Calculator

Given Input numbers are 400, 864, 809, 903

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 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 809 :

The positive integer divisors of 809 that completely divides 809 are.

1, 809

Divisors of 903 :

The positive integer divisors of 903 that completely divides 903 are.

1, 3, 7, 21, 43, 129, 301, 903

GCD of numbers is the greatest common divisor

So, the GCD (400, 864, 809, 903) = 1.

Given numbers are 400, 864, 809, 903

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 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 809 are 809

Prime factors of 903 are 3 x 7 x 43

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

Given numbers are 400, 864, 809, 903

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

Apply this formula for all numbers.

Step1:

LCM(400, 864) = 21600

GCD(400, 864) = ( 400 x 864 ) / 21600

= 400 / 864

= 400

Step2:

LCM(16, 809) = 12944

GCD(16, 809) = ( 16 x 809 ) / 12944

= 16 / 809

= 16

Step3:

LCM(1, 903) = 903

GCD(1, 903) = ( 1 x 903 ) / 903

= 1 / 903

= 1

So, Greatest Common Divisor of 400, 864, 809, 903 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 755, 169, 447, 812
• GCD of 771, 927, 172, 545
• GCD of 176, 246, 460, 787
• GCD of 174, 181, 194, 409
• GCD of 373, 559, 437, 705

Given numbers are 400, 864, 809, 903
The greatest common divisor of numbers 400, 864, 809, 903 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 864, 809, 903 is 1.

1. What is the GCD of 400, 864, 809, 903?

GCD of given numbers 400, 864, 809, 903 is 1

2. How to calculate the greatest common divisor of 400, 864, 809, 903?

We can find the highest common divisor of 400, 864, 809, 903 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, 864, 809, 903 i.e 1.

3. How can I use the GCD of 400, 864, 809, 903Calculator?

Out the numbers 400, 864, 809, 903 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.