GCD of 450, 632, 551, 449 Calculator

Given Input numbers are 450, 632, 551, 449

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 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 551

List of positive integer divisors of 551 that divides 551 without a remainder.

1, 19, 29, 551

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Greatest Common Divisior

We found the divisors of 450, 632, 551, 449 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 632, 551, 449 is 1.

Therefore, GCD of numbers 450, 632, 551, 449 is 1

Given Input Data is 450, 632, 551, 449

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 632 is 2 x 2 x 2 x 79

Prime Factorization of 551 is 19 x 29

Prime Factorization of 449 is 449

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, 632) = 142200

GCD(450, 632) = ( 450 x 632 ) / 142200

GCD(450, 632) = 284400 / 142200

GCD(450, 632) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 551

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

LCM(2, 551) = 1102

GCD(2, 551) = ( 2 x 551 ) / 1102

GCD(2, 551) = 1102 / 1102

GCD(2, 551) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 449

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

LCM(1, 449) = 449

GCD(1, 449) = ( 1 x 449 ) / 449

GCD(1, 449) = 449 / 449

GCD(1, 449) = 1

GCD of 450, 632, 551, 449 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 825, 311, 391, 681
• GCD of 166, 660, 830, 591
• GCD of 380, 134, 652, 611
• GCD of 767, 371, 830, 395
• GCD of 147, 655, 724, 836

1. What is the GCD of 450, 632, 551, 449?

GCD of 450, 632, 551, 449 is 1

2. Where do I get the detailed procedure to find GCD of 450, 632, 551, 449?

You can find a detailed procedure to find GCD of 450, 632, 551, 449 on our page.

3. How to find GCD of 450, 632, 551, 449 on a calculator?

You can find the GCD of 450, 632, 551, 449 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.