GCD of 214, 323, 200, 828 Calculator

Given Input numbers are 214, 323, 200, 828

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

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

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

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (214, 323, 200, 828) = 1.

Given numbers are 214, 323, 200, 828

The list of prime factors of all numbers are

Prime factors of 214 are 2 x 107

Prime factors of 323 are 17 x 19

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

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

Given numbers are 214, 323, 200, 828

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

Apply this formula for all numbers.

Step1:

LCM(214, 323) = 69122

GCD(214, 323) = ( 214 x 323 ) / 69122

= 214 / 323

= 214

Step2:

LCM(1, 200) = 200

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

= 1 / 200

= 1

Step3:

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

= 1 / 828

= 1

So, Greatest Common Divisor of 214, 323, 200, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 534, 874, 723, 738
• GCD of 231, 485, 773, 502
• GCD of 477, 680, 853, 896
• GCD of 378, 619, 720, 399
• GCD of 235, 441, 974, 855

Given numbers are 214, 323, 200, 828
The greatest common divisor of numbers 214, 323, 200, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 323, 200, 828 is 1.

1. What is the GCD of 214, 323, 200, 828?

GCD of given numbers 214, 323, 200, 828 is 1

2. How to calculate the greatest common divisor of 214, 323, 200, 828?

We can find the highest common divisor of 214, 323, 200, 828 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 214, 323, 200, 828 i.e 1.

3. How can I use the GCD of 214, 323, 200, 828Calculator?

Out the numbers 214, 323, 200, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.