GCD of 204, 564, 783, 361 Calculator

Given Input numbers are 204, 564, 783, 361

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

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

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 783 :

The positive integer divisors of 783 that completely divides 783 are.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

GCD of numbers is the greatest common divisor

So, the GCD (204, 564, 783, 361) = 1.

Given numbers are 204, 564, 783, 361

The list of prime factors of all numbers are

Prime factors of 204 are 2 x 2 x 3 x 17

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

Prime factors of 783 are 3 x 3 x 3 x 29

Prime factors of 361 are 19 x 19

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

Given numbers are 204, 564, 783, 361

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

Apply this formula for all numbers.

Step1:

LCM(204, 564) = 9588

GCD(204, 564) = ( 204 x 564 ) / 9588

= 204 / 564

= 204

Step2:

LCM(12, 783) = 3132

GCD(12, 783) = ( 12 x 783 ) / 3132

= 12 / 783

= 12

Step3:

LCM(3, 361) = 1083

GCD(3, 361) = ( 3 x 361 ) / 1083

= 3 / 361

= 3

So, Greatest Common Divisor of 204, 564, 783, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 973, 423, 569, 417
• GCD of 133, 824, 122, 316
• GCD of 737, 639, 244, 681
• GCD of 660, 612, 244, 707
• GCD of 400, 413, 724, 335

Given numbers are 204, 564, 783, 361
The greatest common divisor of numbers 204, 564, 783, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 204, 564, 783, 361 is 1.

1. What is the GCD of 204, 564, 783, 361?

GCD of given numbers 204, 564, 783, 361 is 1

2. How to calculate the greatest common divisor of 204, 564, 783, 361?

We can find the highest common divisor of 204, 564, 783, 361 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 204, 564, 783, 361 i.e 1.

3. How can I use the GCD of 204, 564, 783, 361Calculator?

Out the numbers 204, 564, 783, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.