GCD of 200, 187, 398, 585 Calculator

Given Input numbers are 200, 187, 398, 585

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

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 187 :

The positive integer divisors of 187 that completely divides 187 are.

1, 11, 17, 187

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

GCD of numbers is the greatest common divisor

So, the GCD (200, 187, 398, 585) = 1.

Given numbers are 200, 187, 398, 585

The list of prime factors of all numbers are

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

Prime factors of 187 are 11 x 17

Prime factors of 398 are 2 x 199

Prime factors of 585 are 3 x 3 x 5 x 13

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

Given numbers are 200, 187, 398, 585

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

Apply this formula for all numbers.

Step1:

LCM(200, 187) = 37400

GCD(200, 187) = ( 200 x 187 ) / 37400

= 200 / 187

= 200

Step2:

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

= 1 / 398

= 1

Step3:

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

= 1 / 585

= 1

So, Greatest Common Divisor of 200, 187, 398, 585 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 374, 412, 698, 831
• GCD of 380, 126, 864, 521
• GCD of 168, 767, 424, 342
• GCD of 400, 684, 706, 860
• GCD of 263, 819, 389, 912

Given numbers are 200, 187, 398, 585
The greatest common divisor of numbers 200, 187, 398, 585 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 187, 398, 585 is 1.

1. What is the GCD of 200, 187, 398, 585?

GCD of given numbers 200, 187, 398, 585 is 1

2. How to calculate the greatest common divisor of 200, 187, 398, 585?

We can find the highest common divisor of 200, 187, 398, 585 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 200, 187, 398, 585 i.e 1.

3. How can I use the GCD of 200, 187, 398, 585Calculator?

Out the numbers 200, 187, 398, 585 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.