GCD of 589, 345, 370, 108 Calculator

Given Input numbers are 589, 345, 370, 108

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

Divisors of 589 :

The positive integer divisors of 589 that completely divides 589 are.

1, 19, 31, 589

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

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

GCD of numbers is the greatest common divisor

So, the GCD (589, 345, 370, 108) = 1.

Given numbers are 589, 345, 370, 108

The list of prime factors of all numbers are

Prime factors of 589 are 19 x 31

Prime factors of 345 are 3 x 5 x 23

Prime factors of 370 are 2 x 5 x 37

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

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

Given numbers are 589, 345, 370, 108

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

Apply this formula for all numbers.

Step1:

LCM(589, 345) = 203205

GCD(589, 345) = ( 589 x 345 ) / 203205

= 589 / 345

= 589

Step2:

LCM(1, 370) = 370

GCD(1, 370) = ( 1 x 370 ) / 370

= 1 / 370

= 1

Step3:

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

= 1 / 108

= 1

So, Greatest Common Divisor of 589, 345, 370, 108 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 718, 604, 614, 362
• GCD of 217, 194, 121, 671
• GCD of 514, 771, 211, 341
• GCD of 975, 306, 172, 211
• GCD of 471, 329, 792, 716

Given numbers are 589, 345, 370, 108
The greatest common divisor of numbers 589, 345, 370, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 589, 345, 370, 108 is 1.

1. What is the GCD of 589, 345, 370, 108?

GCD of given numbers 589, 345, 370, 108 is 1

2. How to calculate the greatest common divisor of 589, 345, 370, 108?

We can find the highest common divisor of 589, 345, 370, 108 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 589, 345, 370, 108 i.e 1.

3. How can I use the GCD of 589, 345, 370, 108Calculator?

Out the numbers 589, 345, 370, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.