GCD of 321, 744, 800, 463 Calculator

Given Input numbers are 321, 744, 800, 463

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

Divisors of 321 :

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

1, 3, 107, 321

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

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 463 :

The positive integer divisors of 463 that completely divides 463 are.

1, 463

GCD of numbers is the greatest common divisor

So, the GCD (321, 744, 800, 463) = 1.

Given numbers are 321, 744, 800, 463

The list of prime factors of all numbers are

Prime factors of 321 are 3 x 107

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

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

Prime factors of 463 are 463

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

Given numbers are 321, 744, 800, 463

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

Apply this formula for all numbers.

Step1:

LCM(321, 744) = 79608

GCD(321, 744) = ( 321 x 744 ) / 79608

= 321 / 744

= 321

Step2:

LCM(3, 800) = 2400

GCD(3, 800) = ( 3 x 800 ) / 2400

= 3 / 800

= 3

Step3:

LCM(1, 463) = 463

GCD(1, 463) = ( 1 x 463 ) / 463

= 1 / 463

= 1

So, Greatest Common Divisor of 321, 744, 800, 463 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 905, 777, 178, 437
• GCD of 616, 354, 600, 695
• GCD of 116, 297, 268, 531
• GCD of 641, 549, 186, 411
• GCD of 196, 905, 802, 858

Given numbers are 321, 744, 800, 463
The greatest common divisor of numbers 321, 744, 800, 463 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 321, 744, 800, 463 is 1.

1. What is the GCD of 321, 744, 800, 463?

GCD of given numbers 321, 744, 800, 463 is 1

2. How to calculate the greatest common divisor of 321, 744, 800, 463?

We can find the highest common divisor of 321, 744, 800, 463 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 321, 744, 800, 463 i.e 1.

3. How can I use the GCD of 321, 744, 800, 463Calculator?

Out the numbers 321, 744, 800, 463 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.