GCD of 450, 780, 122, 638 Calculator

Given Input numbers are 450, 780, 122, 638

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 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Greatest Common Divisior

We found the divisors of 450, 780, 122, 638 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 780, 122, 638 is 2.

Therefore, GCD of numbers 450, 780, 122, 638 is 2

Given Input Data is 450, 780, 122, 638

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 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 122 is 2 x 61

Prime Factorization of 638 is 2 x 11 x 29

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 780) = 11700

GCD(450, 780) = ( 450 x 780 ) / 11700

GCD(450, 780) = 351000 / 11700

GCD(450, 780) = 30

Step2:

Here we consider the GCD from the above i.e. 30 as first number and the next as 122

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

LCM(30, 122) = 1830

GCD(30, 122) = ( 30 x 122 ) / 1830

GCD(30, 122) = 3660 / 1830

GCD(30, 122) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 638

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

LCM(2, 638) = 638

GCD(2, 638) = ( 2 x 638 ) / 638

GCD(2, 638) = 1276 / 638

GCD(2, 638) = 2

GCD of 450, 780, 122, 638 is 2

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1. What is the GCD of 450, 780, 122, 638?

GCD of 450, 780, 122, 638 is 2

2. Where do I get the detailed procedure to find GCD of 450, 780, 122, 638?

You can find a detailed procedure to find GCD of 450, 780, 122, 638 on our page.

3. How to find GCD of 450, 780, 122, 638 on a calculator?

You can find the GCD of 450, 780, 122, 638 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.