GCD of 450, 605, 344, 484 Calculator

Given Input numbers are 450, 605, 344, 484

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 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Greatest Common Divisior

We found the divisors of 450, 605, 344, 484 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 605, 344, 484 is 1.

Therefore, GCD of numbers 450, 605, 344, 484 is 1

Given Input Data is 450, 605, 344, 484

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 605 is 5 x 11 x 11

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 484 is 2 x 2 x 11 x 11

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, 605) = 54450

GCD(450, 605) = ( 450 x 605 ) / 54450

GCD(450, 605) = 272250 / 54450

GCD(450, 605) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 344

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

LCM(5, 344) = 1720

GCD(5, 344) = ( 5 x 344 ) / 1720

GCD(5, 344) = 1720 / 1720

GCD(5, 344) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 484

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

LCM(1, 484) = 484

GCD(1, 484) = ( 1 x 484 ) / 484

GCD(1, 484) = 484 / 484

GCD(1, 484) = 1

GCD of 450, 605, 344, 484 is 1

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• GCD of 118, 398, 948, 237
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1. What is the GCD of 450, 605, 344, 484?

GCD of 450, 605, 344, 484 is 1

2. Where do I get the detailed procedure to find GCD of 450, 605, 344, 484?

You can find a detailed procedure to find GCD of 450, 605, 344, 484 on our page.

3. How to find GCD of 450, 605, 344, 484 on a calculator?

You can find the GCD of 450, 605, 344, 484 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.