GCD of 525, 372, 471, 559 Calculator

Given Input numbers are 525, 372, 471, 559

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

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Greatest Common Divisior

We found the divisors of 525, 372, 471, 559 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 525, 372, 471, 559 is 1.

Therefore, GCD of numbers 525, 372, 471, 559 is 1

Given Input Data is 525, 372, 471, 559

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

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 471 is 3 x 157

Prime Factorization of 559 is 13 x 43

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(525, 372) = 65100

GCD(525, 372) = ( 525 x 372 ) / 65100

GCD(525, 372) = 195300 / 65100

GCD(525, 372) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 471

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

LCM(3, 471) = 471

GCD(3, 471) = ( 3 x 471 ) / 471

GCD(3, 471) = 1413 / 471

GCD(3, 471) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 559

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

LCM(3, 559) = 1677

GCD(3, 559) = ( 3 x 559 ) / 1677

GCD(3, 559) = 1677 / 1677

GCD(3, 559) = 1

GCD of 525, 372, 471, 559 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 939, 600, 999, 689
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• GCD of 401, 671, 167, 929

1. What is the GCD of 525, 372, 471, 559?

GCD of 525, 372, 471, 559 is 1

2. Where do I get the detailed procedure to find GCD of 525, 372, 471, 559?

You can find a detailed procedure to find GCD of 525, 372, 471, 559 on our page.

3. How to find GCD of 525, 372, 471, 559 on a calculator?

You can find the GCD of 525, 372, 471, 559 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.