GCD of 22, 529, 538, 498 Calculator

Given Input numbers are 22, 529, 538, 498

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

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Greatest Common Divisior

We found the divisors of 22, 529, 538, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 22, 529, 538, 498 is 1.

Therefore, GCD of numbers 22, 529, 538, 498 is 1

Given Input Data is 22, 529, 538, 498

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

Prime Factorization of 22 is 2 x 11

Prime Factorization of 529 is 23 x 23

Prime Factorization of 538 is 2 x 269

Prime Factorization of 498 is 2 x 3 x 83

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(22, 529) = 11638

GCD(22, 529) = ( 22 x 529 ) / 11638

GCD(22, 529) = 11638 / 11638

GCD(22, 529) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 538

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

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

GCD(1, 538) = 538 / 538

GCD(1, 538) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 498

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

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

GCD(1, 498) = 498 / 498

GCD(1, 498) = 1

GCD of 22, 529, 538, 498 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 61, 157, 290, 799
• GCD of 72, 965, 452, 663
• GCD of 99, 717, 293, 626
• GCD of 46, 466, 827, 617
• GCD of 53, 805, 313, 536

1. What is the GCD of 22, 529, 538, 498?

GCD of 22, 529, 538, 498 is 1

2. Where do I get the detailed procedure to find GCD of 22, 529, 538, 498?

You can find a detailed procedure to find GCD of 22, 529, 538, 498 on our page.

3. How to find GCD of 22, 529, 538, 498 on a calculator?

You can find the GCD of 22, 529, 538, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.