GCD of 800, 213, 214, 323 Calculator

Given Input numbers are 800, 213, 214, 323

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 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 323 :

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

1, 17, 19, 323

GCD of numbers is the greatest common divisor

So, the GCD (800, 213, 214, 323) = 1.

Given numbers are 800, 213, 214, 323

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 213 are 3 x 71

Prime factors of 214 are 2 x 107

Prime factors of 323 are 17 x 19

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

Given numbers are 800, 213, 214, 323

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

Apply this formula for all numbers.

Step1:

LCM(800, 213) = 170400

GCD(800, 213) = ( 800 x 213 ) / 170400

= 800 / 213

= 800

Step2:

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

= 1 / 214

= 1

Step3:

LCM(1, 323) = 323

GCD(1, 323) = ( 1 x 323 ) / 323

= 1 / 323

= 1

So, Greatest Common Divisor of 800, 213, 214, 323 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 550, 299, 615, 419
• GCD of 261, 455, 849, 713
• GCD of 625, 768, 971, 285
• GCD of 953, 411, 838, 609
• GCD of 775, 957, 561, 941

Given numbers are 800, 213, 214, 323
The greatest common divisor of numbers 800, 213, 214, 323 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 213, 214, 323 is 1.

1. What is the GCD of 800, 213, 214, 323?

GCD of given numbers 800, 213, 214, 323 is 1

2. How to calculate the greatest common divisor of 800, 213, 214, 323?

We can find the highest common divisor of 800, 213, 214, 323 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, 213, 214, 323 i.e 1.

3. How can I use the GCD of 800, 213, 214, 323Calculator?

Out the numbers 800, 213, 214, 323 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.