GCD of 71, 953, 260, 589 Calculator

Given Input numbers are 71, 953, 260, 589

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

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 589

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

1, 19, 31, 589

Greatest Common Divisior

We found the divisors of 71, 953, 260, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 953, 260, 589 is 1.

Therefore, GCD of numbers 71, 953, 260, 589 is 1

Given Input Data is 71, 953, 260, 589

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

Prime Factorization of 71 is 71

Prime Factorization of 953 is 953

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 589 is 19 x 31

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(71, 953) = 67663

GCD(71, 953) = ( 71 x 953 ) / 67663

GCD(71, 953) = 67663 / 67663

GCD(71, 953) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 260

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

LCM(1, 260) = 260

GCD(1, 260) = ( 1 x 260 ) / 260

GCD(1, 260) = 260 / 260

GCD(1, 260) = 1

Step3:

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

GCD of 71, 953, 260, 589 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 26, 128, 970, 246
• GCD of 42, 825, 711, 859
• GCD of 69, 866, 926, 200
• GCD of 39, 618, 481, 325
• GCD of 73, 159, 244, 342

1. What is the GCD of 71, 953, 260, 589?

GCD of 71, 953, 260, 589 is 1

2. Where do I get the detailed procedure to find GCD of 71, 953, 260, 589?

You can find a detailed procedure to find GCD of 71, 953, 260, 589 on our page.

3. How to find GCD of 71, 953, 260, 589 on a calculator?

You can find the GCD of 71, 953, 260, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.