GCD of 108, 531, 16, 259 Calculator

Given Input numbers are 108, 531, 16, 259

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 16 :

The positive integer divisors of 16 that completely divides 16 are.

1, 2, 4, 8, 16

Divisors of 259 :

The positive integer divisors of 259 that completely divides 259 are.

1, 7, 37, 259

GCD of numbers is the greatest common divisor

So, the GCD (108, 531, 16, 259) = 1.

Given numbers are 108, 531, 16, 259

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 16 are 2 x 2 x 2 x 2

Prime factors of 259 are 7 x 37

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

Given numbers are 108, 531, 16, 259

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, 16) = 144

GCD(9, 16) = ( 9 x 16 ) / 144

= 9 / 16

= 9

Step3:

LCM(1, 259) = 259

GCD(1, 259) = ( 1 x 259 ) / 259

= 1 / 259

= 1

So, Greatest Common Divisor of 108, 531, 16, 259 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 503, 976, 47, 894
• GCD of 815, 497, 76, 900
• GCD of 516, 651, 72, 550
• GCD of 955, 913, 55, 603
• GCD of 263, 868, 79, 903

Given numbers are 108, 531, 16, 259
The greatest common divisor of numbers 108, 531, 16, 259 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 531, 16, 259 is 1.

1. What is the GCD of 108, 531, 16, 259?

GCD of given numbers 108, 531, 16, 259 is 1

2. How to calculate the greatest common divisor of 108, 531, 16, 259?

We can find the highest common divisor of 108, 531, 16, 259 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, 16, 259 i.e 1.

3. How can I use the GCD of 108, 531, 16, 259Calculator?

Out the numbers 108, 531, 16, 259 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.