GCD of 495, 450, 189, 574 Calculator

Given Input numbers are 495, 450, 189, 574

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

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

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 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Greatest Common Divisior

We found the divisors of 495, 450, 189, 574 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 495, 450, 189, 574 is 1.

Therefore, GCD of numbers 495, 450, 189, 574 is 1

Given Input Data is 495, 450, 189, 574

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

Prime Factorization of 495 is 3 x 3 x 5 x 11

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

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 574 is 2 x 7 x 41

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(495, 450) = 4950

GCD(495, 450) = ( 495 x 450 ) / 4950

GCD(495, 450) = 222750 / 4950

GCD(495, 450) = 45

Step2:

Here we consider the GCD from the above i.e. 45 as first number and the next as 189

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

LCM(45, 189) = 945

GCD(45, 189) = ( 45 x 189 ) / 945

GCD(45, 189) = 8505 / 945

GCD(45, 189) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 574

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

LCM(9, 574) = 5166

GCD(9, 574) = ( 9 x 574 ) / 5166

GCD(9, 574) = 5166 / 5166

GCD(9, 574) = 1

GCD of 495, 450, 189, 574 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 347, 872, 973, 537
• GCD of 999, 826, 595, 730
• GCD of 629, 652, 187, 829
• GCD of 287, 714, 301, 729
• GCD of 755, 957, 369, 556

1. What is the GCD of 495, 450, 189, 574?

GCD of 495, 450, 189, 574 is 1

2. Where do I get the detailed procedure to find GCD of 495, 450, 189, 574?

You can find a detailed procedure to find GCD of 495, 450, 189, 574 on our page.

3. How to find GCD of 495, 450, 189, 574 on a calculator?

You can find the GCD of 495, 450, 189, 574 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.