GCD of 631, 822, 659, 450 Calculator

Given Input numbers are 631, 822, 659, 450

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

Divisors of 631

List of positive integer divisors of 631 that divides 631 without a remainder.

1, 631

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

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

Greatest Common Divisior

We found the divisors of 631, 822, 659, 450 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 631, 822, 659, 450 is 1.

Therefore, GCD of numbers 631, 822, 659, 450 is 1

Given Input Data is 631, 822, 659, 450

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

Prime Factorization of 631 is 631

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 659 is 659

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

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(631, 822) = 518682

GCD(631, 822) = ( 631 x 822 ) / 518682

GCD(631, 822) = 518682 / 518682

GCD(631, 822) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 659

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

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

GCD(1, 659) = 659 / 659

GCD(1, 659) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 450

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

LCM(1, 450) = 450

GCD(1, 450) = ( 1 x 450 ) / 450

GCD(1, 450) = 450 / 450

GCD(1, 450) = 1

GCD of 631, 822, 659, 450 is 1

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• GCD of 602, 642, 754, 304
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1. What is the GCD of 631, 822, 659, 450?

GCD of 631, 822, 659, 450 is 1

2. Where do I get the detailed procedure to find GCD of 631, 822, 659, 450?

You can find a detailed procedure to find GCD of 631, 822, 659, 450 on our page.

3. How to find GCD of 631, 822, 659, 450 on a calculator?

You can find the GCD of 631, 822, 659, 450 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.