GCD of 800, 456, 807, 321 Calculator

Given Input numbers are 800, 456, 807, 321

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 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 807 :

The positive integer divisors of 807 that completely divides 807 are.

1, 3, 269, 807

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

GCD of numbers is the greatest common divisor

So, the GCD (800, 456, 807, 321) = 1.

Given numbers are 800, 456, 807, 321

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 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 807 are 3 x 269

Prime factors of 321 are 3 x 107

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

Given numbers are 800, 456, 807, 321

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

Apply this formula for all numbers.

Step1:

LCM(800, 456) = 45600

GCD(800, 456) = ( 800 x 456 ) / 45600

= 800 / 456

= 800

Step2:

LCM(8, 807) = 6456

GCD(8, 807) = ( 8 x 807 ) / 6456

= 8 / 807

= 8

Step3:

LCM(1, 321) = 321

GCD(1, 321) = ( 1 x 321 ) / 321

= 1 / 321

= 1

So, Greatest Common Divisor of 800, 456, 807, 321 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 407, 531, 511, 228
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• GCD of 864, 983, 840, 891

Given numbers are 800, 456, 807, 321
The greatest common divisor of numbers 800, 456, 807, 321 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 456, 807, 321 is 1.

1. What is the GCD of 800, 456, 807, 321?

GCD of given numbers 800, 456, 807, 321 is 1

2. How to calculate the greatest common divisor of 800, 456, 807, 321?

We can find the highest common divisor of 800, 456, 807, 321 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, 456, 807, 321 i.e 1.

3. How can I use the GCD of 800, 456, 807, 321Calculator?

Out the numbers 800, 456, 807, 321 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.