GCD of 828, 457, 36, 538 Calculator

Given Input numbers are 828, 457, 36, 538

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

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 538

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

1, 2, 269, 538

Greatest Common Divisior

We found the divisors of 828, 457, 36, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 457, 36, 538 is 1.

Therefore, GCD of numbers 828, 457, 36, 538 is 1

Given Input Data is 828, 457, 36, 538

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

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 457 is 457

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 538 is 2 x 269

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(828, 457) = 378396

GCD(828, 457) = ( 828 x 457 ) / 378396

GCD(828, 457) = 378396 / 378396

GCD(828, 457) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

Step3:

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

GCD of 828, 457, 36, 538 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 200, 850, 49, 423
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• GCD of 692, 689, 70, 123
• GCD of 343, 239, 23, 109
• GCD of 604, 522, 27, 790

1. What is the GCD of 828, 457, 36, 538?

GCD of 828, 457, 36, 538 is 1

2. Where do I get the detailed procedure to find GCD of 828, 457, 36, 538?

You can find a detailed procedure to find GCD of 828, 457, 36, 538 on our page.

3. How to find GCD of 828, 457, 36, 538 on a calculator?

You can find the GCD of 828, 457, 36, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.