GCD of 509, 407, 521, 204 Calculator

Given Input numbers are 509, 407, 521, 204

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

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 407 :

The positive integer divisors of 407 that completely divides 407 are.

1, 11, 37, 407

Divisors of 521 :

The positive integer divisors of 521 that completely divides 521 are.

1, 521

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

GCD of numbers is the greatest common divisor

So, the GCD (509, 407, 521, 204) = 1.

Given numbers are 509, 407, 521, 204

The list of prime factors of all numbers are

Prime factors of 509 are 509

Prime factors of 407 are 11 x 37

Prime factors of 521 are 521

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

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

Given numbers are 509, 407, 521, 204

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

Apply this formula for all numbers.

Step1:

LCM(509, 407) = 207163

GCD(509, 407) = ( 509 x 407 ) / 207163

= 509 / 407

= 509

Step2:

LCM(1, 521) = 521

GCD(1, 521) = ( 1 x 521 ) / 521

= 1 / 521

= 1

Step3:

LCM(1, 204) = 204

GCD(1, 204) = ( 1 x 204 ) / 204

= 1 / 204

= 1

So, Greatest Common Divisor of 509, 407, 521, 204 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 550, 308, 461, 367
• GCD of 604, 936, 749, 135
• GCD of 210, 187, 643, 215
• GCD of 519, 292, 954, 358
• GCD of 475, 442, 819, 879

Given numbers are 509, 407, 521, 204
The greatest common divisor of numbers 509, 407, 521, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 407, 521, 204 is 1.

1. What is the GCD of 509, 407, 521, 204?

GCD of given numbers 509, 407, 521, 204 is 1

2. How to calculate the greatest common divisor of 509, 407, 521, 204?

We can find the highest common divisor of 509, 407, 521, 204 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 509, 407, 521, 204 i.e 1.

3. How can I use the GCD of 509, 407, 521, 204Calculator?

Out the numbers 509, 407, 521, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.