GCD of 209, 582, 412, 360 Calculator

Given Input numbers are 209, 582, 412, 360

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

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

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

GCD of numbers is the greatest common divisor

So, the GCD (209, 582, 412, 360) = 1.

Given numbers are 209, 582, 412, 360

The list of prime factors of all numbers are

Prime factors of 209 are 11 x 19

Prime factors of 582 are 2 x 3 x 97

Prime factors of 412 are 2 x 2 x 103

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

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

Given numbers are 209, 582, 412, 360

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

Apply this formula for all numbers.

Step1:

LCM(209, 582) = 121638

GCD(209, 582) = ( 209 x 582 ) / 121638

= 209 / 582

= 209

Step2:

LCM(1, 412) = 412

GCD(1, 412) = ( 1 x 412 ) / 412

= 1 / 412

= 1

Step3:

LCM(1, 360) = 360

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

= 1 / 360

= 1

So, Greatest Common Divisor of 209, 582, 412, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 393, 749, 952, 582
• GCD of 338, 294, 330, 465
• GCD of 601, 262, 143, 687
• GCD of 142, 209, 109, 746
• GCD of 298, 254, 760, 504

Given numbers are 209, 582, 412, 360
The greatest common divisor of numbers 209, 582, 412, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 209, 582, 412, 360 is 1.

1. What is the GCD of 209, 582, 412, 360?

GCD of given numbers 209, 582, 412, 360 is 1

2. How to calculate the greatest common divisor of 209, 582, 412, 360?

We can find the highest common divisor of 209, 582, 412, 360 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 209, 582, 412, 360 i.e 1.

3. How can I use the GCD of 209, 582, 412, 360Calculator?

Out the numbers 209, 582, 412, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.