GCD of 509, 216, 531, 800 Calculator

Given Input numbers are 509, 216, 531, 800

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 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 531 :

The positive integer divisors of 531 that completely divides 531 are.

1, 3, 9, 59, 177, 531

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

GCD of numbers is the greatest common divisor

So, the GCD (509, 216, 531, 800) = 1.

Given numbers are 509, 216, 531, 800

The list of prime factors of all numbers are

Prime factors of 509 are 509

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 531 are 3 x 3 x 59

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

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

Given numbers are 509, 216, 531, 800

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

Apply this formula for all numbers.

Step1:

LCM(509, 216) = 109944

GCD(509, 216) = ( 509 x 216 ) / 109944

= 509 / 216

= 509

Step2:

LCM(1, 531) = 531

GCD(1, 531) = ( 1 x 531 ) / 531

= 1 / 531

= 1

Step3:

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

= 1 / 800

= 1

So, Greatest Common Divisor of 509, 216, 531, 800 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 428, 587, 122, 845
• GCD of 318, 959, 842, 790
• GCD of 549, 998, 946, 338
• GCD of 936, 262, 809, 985
• GCD of 177, 801, 846, 954

Given numbers are 509, 216, 531, 800
The greatest common divisor of numbers 509, 216, 531, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 216, 531, 800 is 1.

1. What is the GCD of 509, 216, 531, 800?

GCD of given numbers 509, 216, 531, 800 is 1

2. How to calculate the greatest common divisor of 509, 216, 531, 800?

We can find the highest common divisor of 509, 216, 531, 800 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, 216, 531, 800 i.e 1.

3. How can I use the GCD of 509, 216, 531, 800Calculator?

Out the numbers 509, 216, 531, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.