GCD of 450, 364, 13, 944 Calculator

Given Input numbers are 450, 364, 13, 944

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 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Greatest Common Divisior

We found the divisors of 450, 364, 13, 944 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 364, 13, 944 is 1.

Therefore, GCD of numbers 450, 364, 13, 944 is 1

Given Input Data is 450, 364, 13, 944

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 364 is 2 x 2 x 7 x 13

Prime Factorization of 13 is 13

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

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, 364) = 81900

GCD(450, 364) = ( 450 x 364 ) / 81900

GCD(450, 364) = 163800 / 81900

GCD(450, 364) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 13

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

LCM(2, 13) = 26

GCD(2, 13) = ( 2 x 13 ) / 26

GCD(2, 13) = 26 / 26

GCD(2, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 944

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

LCM(1, 944) = 944

GCD(1, 944) = ( 1 x 944 ) / 944

GCD(1, 944) = 944 / 944

GCD(1, 944) = 1

GCD of 450, 364, 13, 944 is 1

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• GCD of 971, 901, 48, 541

1. What is the GCD of 450, 364, 13, 944?

GCD of 450, 364, 13, 944 is 1

2. Where do I get the detailed procedure to find GCD of 450, 364, 13, 944?

You can find a detailed procedure to find GCD of 450, 364, 13, 944 on our page.

3. How to find GCD of 450, 364, 13, 944 on a calculator?

You can find the GCD of 450, 364, 13, 944 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.