GCD of 589, 157, 119, 532 Calculator

Given Input numbers are 589, 157, 119, 532

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 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Greatest Common Divisior

We found the divisors of 589, 157, 119, 532 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 589, 157, 119, 532 is 1.

Therefore, GCD of numbers 589, 157, 119, 532 is 1

Given Input Data is 589, 157, 119, 532

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

Prime Factorization of 589 is 19 x 31

Prime Factorization of 157 is 157

Prime Factorization of 119 is 7 x 17

Prime Factorization of 532 is 2 x 2 x 7 x 19

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, 157) = 92473

GCD(589, 157) = ( 589 x 157 ) / 92473

GCD(589, 157) = 92473 / 92473

GCD(589, 157) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 119

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

LCM(1, 119) = 119

GCD(1, 119) = ( 1 x 119 ) / 119

GCD(1, 119) = 119 / 119

GCD(1, 119) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 532

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

LCM(1, 532) = 532

GCD(1, 532) = ( 1 x 532 ) / 532

GCD(1, 532) = 532 / 532

GCD(1, 532) = 1

GCD of 589, 157, 119, 532 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 283, 235, 274, 818
• GCD of 132, 789, 263, 916
• GCD of 119, 846, 222, 839
• GCD of 160, 421, 374, 148
• GCD of 184, 810, 987, 240

1. What is the GCD of 589, 157, 119, 532?

GCD of 589, 157, 119, 532 is 1

2. Where do I get the detailed procedure to find GCD of 589, 157, 119, 532?

You can find a detailed procedure to find GCD of 589, 157, 119, 532 on our page.

3. How to find GCD of 589, 157, 119, 532 on a calculator?

You can find the GCD of 589, 157, 119, 532 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.