GCD of 589, 304, 149 Calculator

Given Input numbers are 589, 304, 149

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 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149

GCD of numbers is the greatest common divisor

So, the GCD (589, 304, 149) = 1.

Given numbers are 589, 304, 149

The list of prime factors of all numbers are

Prime factors of 589 are 19 x 31

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 149 are 149

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

Given numbers are 589, 304, 149

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

Apply this formula for all numbers.

Step1:

LCM(589, 304) = 9424

GCD(589, 304) = ( 589 x 304 ) / 9424

= 589 / 304

= 589

Step2:

LCM(19, 149) = 2831

GCD(19, 149) = ( 19 x 149 ) / 2831

= 19 / 149

= 19

So, Greatest Common Divisor of 589, 304, 149 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 988, 920, 120
• GCD of 123, 726, 832
• GCD of 866, 274, 233
• GCD of 418, 491, 997
• GCD of 352, 480, 315

Given numbers are 589, 304, 149
The greatest common divisor of numbers 589, 304, 149 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 589, 304, 149 is 1.

1. What is the GCD of 589, 304, 149?

GCD of given numbers 589, 304, 149 is 1

2. How to calculate the greatest common divisor of 589, 304, 149?

We can find the highest common divisor of 589, 304, 149 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, 304, 149 i.e 1.

3. How can I use the GCD of 589, 304, 149Calculator?

Out the numbers 589, 304, 149 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.