GCD of 72, 522, 606, 527 Calculator

Given Input numbers are 72, 522, 606, 527

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

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

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 72, 522, 606, 527 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 522, 606, 527 is 1.

Therefore, GCD of numbers 72, 522, 606, 527 is 1

Given Input Data is 72, 522, 606, 527

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 606 is 2 x 3 x 101

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(72, 522) = 2088

GCD(72, 522) = ( 72 x 522 ) / 2088

GCD(72, 522) = 37584 / 2088

GCD(72, 522) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 606

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

LCM(18, 606) = 1818

GCD(18, 606) = ( 18 x 606 ) / 1818

GCD(18, 606) = 10908 / 1818

GCD(18, 606) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 527

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

LCM(6, 527) = 3162

GCD(6, 527) = ( 6 x 527 ) / 3162

GCD(6, 527) = 3162 / 3162

GCD(6, 527) = 1

GCD of 72, 522, 606, 527 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 54, 459, 354, 388
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• GCD of 71, 403, 518, 245
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• GCD of 99, 693, 612, 951

1. What is the GCD of 72, 522, 606, 527?

GCD of 72, 522, 606, 527 is 1

2. Where do I get the detailed procedure to find GCD of 72, 522, 606, 527?

You can find a detailed procedure to find GCD of 72, 522, 606, 527 on our page.

3. How to find GCD of 72, 522, 606, 527 on a calculator?

You can find the GCD of 72, 522, 606, 527 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.