GCD of 108, 531, 921, 509 Calculator

Given Input numbers are 108, 531, 921, 509

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 531 :

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

1, 3, 9, 59, 177, 531

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 509 :

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

1, 509

GCD of numbers is the greatest common divisor

So, the GCD (108, 531, 921, 509) = 1.

Given numbers are 108, 531, 921, 509

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 531 are 3 x 3 x 59

Prime factors of 921 are 3 x 307

Prime factors of 509 are 509

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

Given numbers are 108, 531, 921, 509

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

Apply this formula for all numbers.

Step1:

LCM(108, 531) = 6372

GCD(108, 531) = ( 108 x 531 ) / 6372

= 108 / 531

= 108

Step2:

LCM(9, 921) = 2763

GCD(9, 921) = ( 9 x 921 ) / 2763

= 9 / 921

= 9

Step3:

LCM(3, 509) = 1527

GCD(3, 509) = ( 3 x 509 ) / 1527

= 3 / 509

= 3

So, Greatest Common Divisor of 108, 531, 921, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 935, 262, 262, 786
• GCD of 566, 361, 358, 927
• GCD of 520, 212, 268, 957
• GCD of 804, 669, 395, 682
• GCD of 822, 946, 621, 976

Given numbers are 108, 531, 921, 509
The greatest common divisor of numbers 108, 531, 921, 509 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 531, 921, 509 is 1.

1. What is the GCD of 108, 531, 921, 509?

GCD of given numbers 108, 531, 921, 509 is 1

2. How to calculate the greatest common divisor of 108, 531, 921, 509?

We can find the highest common divisor of 108, 531, 921, 509 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 108, 531, 921, 509 i.e 1.

3. How can I use the GCD of 108, 531, 921, 509Calculator?

Out the numbers 108, 531, 921, 509 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.