GCD of 800, 864, 327, 945 Calculator

Given Input numbers are 800, 864, 327, 945

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 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 327 :

The positive integer divisors of 327 that completely divides 327 are.

1, 3, 109, 327

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

GCD of numbers is the greatest common divisor

So, the GCD (800, 864, 327, 945) = 1.

Given numbers are 800, 864, 327, 945

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

Prime factors of 327 are 3 x 109

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

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

Given numbers are 800, 864, 327, 945

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

Apply this formula for all numbers.

Step1:

LCM(800, 864) = 21600

GCD(800, 864) = ( 800 x 864 ) / 21600

= 800 / 864

= 800

Step2:

LCM(32, 327) = 10464

GCD(32, 327) = ( 32 x 327 ) / 10464

= 32 / 327

= 32

Step3:

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

= 1 / 945

= 1

So, Greatest Common Divisor of 800, 864, 327, 945 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 884, 757, 112, 729
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• GCD of 386, 597, 777, 401
• GCD of 420, 368, 478, 593

Given numbers are 800, 864, 327, 945
The greatest common divisor of numbers 800, 864, 327, 945 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 864, 327, 945 is 1.

1. What is the GCD of 800, 864, 327, 945?

GCD of given numbers 800, 864, 327, 945 is 1

2. How to calculate the greatest common divisor of 800, 864, 327, 945?

We can find the highest common divisor of 800, 864, 327, 945 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, 864, 327, 945 i.e 1.

3. How can I use the GCD of 800, 864, 327, 945Calculator?

Out the numbers 800, 864, 327, 945 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.