GCD of 71, 527, 589, 400 Calculator

Given Input numbers are 71, 527, 589, 400

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 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Divisors of 589

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

1, 19, 31, 589

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Greatest Common Divisior

We found the divisors of 71, 527, 589, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 527, 589, 400 is 1.

Therefore, GCD of numbers 71, 527, 589, 400 is 1

Given Input Data is 71, 527, 589, 400

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

Prime Factorization of 71 is 71

Prime Factorization of 527 is 17 x 31

Prime Factorization of 589 is 19 x 31

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

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, 527) = 37417

GCD(71, 527) = ( 71 x 527 ) / 37417

GCD(71, 527) = 37417 / 37417

GCD(71, 527) = 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 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

GCD of 71, 527, 589, 400 is 1

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1. What is the GCD of 71, 527, 589, 400?

GCD of 71, 527, 589, 400 is 1

2. Where do I get the detailed procedure to find GCD of 71, 527, 589, 400?

You can find a detailed procedure to find GCD of 71, 527, 589, 400 on our page.

3. How to find GCD of 71, 527, 589, 400 on a calculator?

You can find the GCD of 71, 527, 589, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.