GCD of 583, 121, 20, 527 Calculator

Given Input numbers are 583, 121, 20, 527

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

Divisors of 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 527

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

1, 17, 31, 527

Greatest Common Divisior

We found the divisors of 583, 121, 20, 527 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 583, 121, 20, 527 is 1.

Therefore, GCD of numbers 583, 121, 20, 527 is 1

Given Input Data is 583, 121, 20, 527

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

Prime Factorization of 583 is 11 x 53

Prime Factorization of 121 is 11 x 11

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 527 is 17 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(583, 121) = 6413

GCD(583, 121) = ( 583 x 121 ) / 6413

GCD(583, 121) = 70543 / 6413

GCD(583, 121) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 20

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

LCM(11, 20) = 220

GCD(11, 20) = ( 11 x 20 ) / 220

GCD(11, 20) = 220 / 220

GCD(11, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 527

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

LCM(1, 527) = 527

GCD(1, 527) = ( 1 x 527 ) / 527

GCD(1, 527) = 527 / 527

GCD(1, 527) = 1

GCD of 583, 121, 20, 527 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 330, 439, 64, 815
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• GCD of 273, 717, 71, 439
• GCD of 387, 478, 32, 179
• GCD of 948, 168, 91, 131

1. What is the GCD of 583, 121, 20, 527?

GCD of 583, 121, 20, 527 is 1

2. Where do I get the detailed procedure to find GCD of 583, 121, 20, 527?

You can find a detailed procedure to find GCD of 583, 121, 20, 527 on our page.

3. How to find GCD of 583, 121, 20, 527 on a calculator?

You can find the GCD of 583, 121, 20, 527 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.