GCD of 311, 828, 360, 205 Calculator

Given Input numbers are 311, 828, 360, 205

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

Divisors of 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

GCD of numbers is the greatest common divisor

So, the GCD (311, 828, 360, 205) = 1.

Given numbers are 311, 828, 360, 205

The list of prime factors of all numbers are

Prime factors of 311 are 311

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

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 205 are 5 x 41

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

Given numbers are 311, 828, 360, 205

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

Apply this formula for all numbers.

Step1:

LCM(311, 828) = 257508

GCD(311, 828) = ( 311 x 828 ) / 257508

= 311 / 828

= 311

Step2:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

Step3:

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

= 1 / 205

= 1

So, Greatest Common Divisor of 311, 828, 360, 205 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 514, 251, 442, 344
• GCD of 403, 460, 306, 294
• GCD of 515, 604, 960, 996
• GCD of 937, 313, 250, 362
• GCD of 654, 391, 144, 592

Given numbers are 311, 828, 360, 205
The greatest common divisor of numbers 311, 828, 360, 205 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 311, 828, 360, 205 is 1.

1. What is the GCD of 311, 828, 360, 205?

GCD of given numbers 311, 828, 360, 205 is 1

2. How to calculate the greatest common divisor of 311, 828, 360, 205?

We can find the highest common divisor of 311, 828, 360, 205 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 311, 828, 360, 205 i.e 1.

3. How can I use the GCD of 311, 828, 360, 205Calculator?

Out the numbers 311, 828, 360, 205 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.