GCD of 589, 133, 78, 149 Calculator

Given Input numbers are 589, 133, 78, 149

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Greatest Common Divisior

We found the divisors of 589, 133, 78, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 589, 133, 78, 149 is 1.

Therefore, GCD of numbers 589, 133, 78, 149 is 1

Given Input Data is 589, 133, 78, 149

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 589 is 19 x 31

Prime Factorization of 133 is 7 x 19

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 149 is 149

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(589, 133) = 4123

GCD(589, 133) = ( 589 x 133 ) / 4123

GCD(589, 133) = 78337 / 4123

GCD(589, 133) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 78

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

LCM(19, 78) = 1482

GCD(19, 78) = ( 19 x 78 ) / 1482

GCD(19, 78) = 1482 / 1482

GCD(19, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 149

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

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

GCD(1, 149) = 149 / 149

GCD(1, 149) = 1

GCD of 589, 133, 78, 149 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 202, 350, 72, 414
• GCD of 594, 860, 92, 265
• GCD of 259, 136, 32, 155
• GCD of 994, 780, 25, 161
• GCD of 370, 697, 79, 717

1. What is the GCD of 589, 133, 78, 149?

GCD of 589, 133, 78, 149 is 1

2. Where do I get the detailed procedure to find GCD of 589, 133, 78, 149?

You can find a detailed procedure to find GCD of 589, 133, 78, 149 on our page.

3. How to find GCD of 589, 133, 78, 149 on a calculator?

You can find the GCD of 589, 133, 78, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.