GCD of 664, 450, 916, 924 Calculator

Given Input numbers are 664, 450, 916, 924

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

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

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 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Greatest Common Divisior

We found the divisors of 664, 450, 916, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 664, 450, 916, 924 is 2.

Therefore, GCD of numbers 664, 450, 916, 924 is 2

Given Input Data is 664, 450, 916, 924

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

Prime Factorization of 664 is 2 x 2 x 2 x 83

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

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

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(664, 450) = 149400

GCD(664, 450) = ( 664 x 450 ) / 149400

GCD(664, 450) = 298800 / 149400

GCD(664, 450) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 916

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

LCM(2, 916) = 916

GCD(2, 916) = ( 2 x 916 ) / 916

GCD(2, 916) = 1832 / 916

GCD(2, 916) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 924

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

LCM(2, 924) = 924

GCD(2, 924) = ( 2 x 924 ) / 924

GCD(2, 924) = 1848 / 924

GCD(2, 924) = 2

GCD of 664, 450, 916, 924 is 2

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• GCD of 962, 664, 856, 243

1. What is the GCD of 664, 450, 916, 924?

GCD of 664, 450, 916, 924 is 2

2. Where do I get the detailed procedure to find GCD of 664, 450, 916, 924?

You can find a detailed procedure to find GCD of 664, 450, 916, 924 on our page.

3. How to find GCD of 664, 450, 916, 924 on a calculator?

You can find the GCD of 664, 450, 916, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.