GCD of 468, 455, 321, 400 Calculator

Given Input numbers are 468, 455, 321, 400

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

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 455 :

The positive integer divisors of 455 that completely divides 455 are.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 321 :

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

1, 3, 107, 321

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

GCD of numbers is the greatest common divisor

So, the GCD (468, 455, 321, 400) = 1.

Given numbers are 468, 455, 321, 400

The list of prime factors of all numbers are

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 455 are 5 x 7 x 13

Prime factors of 321 are 3 x 107

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

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

Given numbers are 468, 455, 321, 400

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

Apply this formula for all numbers.

Step1:

LCM(468, 455) = 16380

GCD(468, 455) = ( 468 x 455 ) / 16380

= 468 / 455

= 468

Step2:

LCM(13, 321) = 4173

GCD(13, 321) = ( 13 x 321 ) / 4173

= 13 / 321

= 13

Step3:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1

So, Greatest Common Divisor of 468, 455, 321, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 784, 637, 660, 814
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• GCD of 633, 106, 957, 167
• GCD of 408, 239, 458, 539
• GCD of 387, 917, 504, 266

Given numbers are 468, 455, 321, 400
The greatest common divisor of numbers 468, 455, 321, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 455, 321, 400 is 1.

1. What is the GCD of 468, 455, 321, 400?

GCD of given numbers 468, 455, 321, 400 is 1

2. How to calculate the greatest common divisor of 468, 455, 321, 400?

We can find the highest common divisor of 468, 455, 321, 400 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 468, 455, 321, 400 i.e 1.

3. How can I use the GCD of 468, 455, 321, 400Calculator?

Out the numbers 468, 455, 321, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.