GCD of 323, 309, 462, 200 Calculator

Given Input numbers are 323, 309, 462, 200

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

Divisors of 323 :

The positive integer divisors of 323 that completely divides 323 are.

1, 17, 19, 323

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

GCD of numbers is the greatest common divisor

So, the GCD (323, 309, 462, 200) = 1.

Given numbers are 323, 309, 462, 200

The list of prime factors of all numbers are

Prime factors of 323 are 17 x 19

Prime factors of 309 are 3 x 103

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 200 are 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 323, 309, 462, 200

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

Apply this formula for all numbers.

Step1:

LCM(323, 309) = 99807

GCD(323, 309) = ( 323 x 309 ) / 99807

= 323 / 309

= 323

Step2:

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

= 1 / 462

= 1

Step3:

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

= 1 / 200

= 1

So, Greatest Common Divisor of 323, 309, 462, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 357, 652, 725, 590
• GCD of 392, 605, 858, 488
• GCD of 437, 733, 249, 339
• GCD of 291, 902, 640, 875
• GCD of 332, 451, 592, 564

Given numbers are 323, 309, 462, 200
The greatest common divisor of numbers 323, 309, 462, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 323, 309, 462, 200 is 1.

1. What is the GCD of 323, 309, 462, 200?

GCD of given numbers 323, 309, 462, 200 is 1

2. How to calculate the greatest common divisor of 323, 309, 462, 200?

We can find the highest common divisor of 323, 309, 462, 200 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 323, 309, 462, 200 i.e 1.

3. How can I use the GCD of 323, 309, 462, 200Calculator?

Out the numbers 323, 309, 462, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.