GCD of 450, 428, 82, 569 Calculator

Given Input numbers are 450, 428, 82, 569

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

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 569

List of positive integer divisors of 569 that divides 569 without a remainder.

1, 569

Greatest Common Divisior

We found the divisors of 450, 428, 82, 569 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 428, 82, 569 is 1.

Therefore, GCD of numbers 450, 428, 82, 569 is 1

Given Input Data is 450, 428, 82, 569

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

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 82 is 2 x 41

Prime Factorization of 569 is 569

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(450, 428) = 96300

GCD(450, 428) = ( 450 x 428 ) / 96300

GCD(450, 428) = 192600 / 96300

GCD(450, 428) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 82

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

LCM(2, 82) = 82

GCD(2, 82) = ( 2 x 82 ) / 82

GCD(2, 82) = 164 / 82

GCD(2, 82) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 569

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

LCM(2, 569) = 1138

GCD(2, 569) = ( 2 x 569 ) / 1138

GCD(2, 569) = 1138 / 1138

GCD(2, 569) = 1

GCD of 450, 428, 82, 569 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 970, 468, 92, 733
• GCD of 700, 889, 19, 633
• GCD of 839, 642, 59, 426
• GCD of 984, 138, 59, 592
• GCD of 545, 595, 85, 870

1. What is the GCD of 450, 428, 82, 569?

GCD of 450, 428, 82, 569 is 1

2. Where do I get the detailed procedure to find GCD of 450, 428, 82, 569?

You can find a detailed procedure to find GCD of 450, 428, 82, 569 on our page.

3. How to find GCD of 450, 428, 82, 569 on a calculator?

You can find the GCD of 450, 428, 82, 569 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.