GCD of 200, 325, 564, 855 Calculator

Given Input numbers are 200, 325, 564, 855

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 325 :

The positive integer divisors of 325 that completely divides 325 are.

1, 5, 13, 25, 65, 325

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 855 :

The positive integer divisors of 855 that completely divides 855 are.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

GCD of numbers is the greatest common divisor

So, the GCD (200, 325, 564, 855) = 1.

Given numbers are 200, 325, 564, 855

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 325 are 5 x 5 x 13

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 855 are 3 x 3 x 5 x 19

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

Given numbers are 200, 325, 564, 855

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

Apply this formula for all numbers.

Step1:

LCM(200, 325) = 2600

GCD(200, 325) = ( 200 x 325 ) / 2600

= 200 / 325

= 200

Step2:

LCM(25, 564) = 14100

GCD(25, 564) = ( 25 x 564 ) / 14100

= 25 / 564

= 25

Step3:

LCM(1, 855) = 855

GCD(1, 855) = ( 1 x 855 ) / 855

= 1 / 855

= 1

So, Greatest Common Divisor of 200, 325, 564, 855 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 456, 186, 470, 223
• GCD of 849, 330, 674, 384
• GCD of 876, 854, 504, 942
• GCD of 750, 605, 914, 486
• GCD of 445, 497, 329, 380

Given numbers are 200, 325, 564, 855
The greatest common divisor of numbers 200, 325, 564, 855 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 325, 564, 855 is 1.

1. What is the GCD of 200, 325, 564, 855?

GCD of given numbers 200, 325, 564, 855 is 1

2. How to calculate the greatest common divisor of 200, 325, 564, 855?

We can find the highest common divisor of 200, 325, 564, 855 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, 325, 564, 855 i.e 1.

3. How can I use the GCD of 200, 325, 564, 855Calculator?

Out the numbers 200, 325, 564, 855 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.