GCD of 200, 894, 318, 365 Calculator

Given Input numbers are 200, 894, 318, 365

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 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

GCD of numbers is the greatest common divisor

So, the GCD (200, 894, 318, 365) = 1.

Given numbers are 200, 894, 318, 365

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 894 are 2 x 3 x 149

Prime factors of 318 are 2 x 3 x 53

Prime factors of 365 are 5 x 73

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

Given numbers are 200, 894, 318, 365

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

Apply this formula for all numbers.

Step1:

LCM(200, 894) = 89400

GCD(200, 894) = ( 200 x 894 ) / 89400

= 200 / 894

= 200

Step2:

LCM(2, 318) = 318

GCD(2, 318) = ( 2 x 318 ) / 318

= 2 / 318

= 2

Step3:

LCM(2, 365) = 730

GCD(2, 365) = ( 2 x 365 ) / 730

= 2 / 365

= 2

So, Greatest Common Divisor of 200, 894, 318, 365 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 337, 408, 428, 187
• GCD of 947, 470, 902, 473
• GCD of 390, 335, 337, 796
• GCD of 170, 862, 231, 395
• GCD of 966, 536, 366, 277

Given numbers are 200, 894, 318, 365
The greatest common divisor of numbers 200, 894, 318, 365 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 894, 318, 365 is 1.

1. What is the GCD of 200, 894, 318, 365?

GCD of given numbers 200, 894, 318, 365 is 1

2. How to calculate the greatest common divisor of 200, 894, 318, 365?

We can find the highest common divisor of 200, 894, 318, 365 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, 894, 318, 365 i.e 1.

3. How can I use the GCD of 200, 894, 318, 365Calculator?

Out the numbers 200, 894, 318, 365 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.