GCD of 125, 159, 589, 145 Calculator

Given Input numbers are 125, 159, 589, 145

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

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 589

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

1, 19, 31, 589

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Greatest Common Divisior

We found the divisors of 125, 159, 589, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 125, 159, 589, 145 is 1.

Therefore, GCD of numbers 125, 159, 589, 145 is 1

Given Input Data is 125, 159, 589, 145

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

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 159 is 3 x 53

Prime Factorization of 589 is 19 x 31

Prime Factorization of 145 is 5 x 29

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(125, 159) = 19875

GCD(125, 159) = ( 125 x 159 ) / 19875

GCD(125, 159) = 19875 / 19875

GCD(125, 159) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 589

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

LCM(1, 589) = 589

GCD(1, 589) = ( 1 x 589 ) / 589

GCD(1, 589) = 589 / 589

GCD(1, 589) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 145

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

LCM(1, 145) = 145

GCD(1, 145) = ( 1 x 145 ) / 145

GCD(1, 145) = 145 / 145

GCD(1, 145) = 1

GCD of 125, 159, 589, 145 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 264, 942, 264, 266
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• GCD of 819, 853, 964, 609
• GCD of 222, 965, 969, 463
• GCD of 383, 659, 228, 454

1. What is the GCD of 125, 159, 589, 145?

GCD of 125, 159, 589, 145 is 1

2. Where do I get the detailed procedure to find GCD of 125, 159, 589, 145?

You can find a detailed procedure to find GCD of 125, 159, 589, 145 on our page.

3. How to find GCD of 125, 159, 589, 145 on a calculator?

You can find the GCD of 125, 159, 589, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.