GCD of 478, 664, 44, 924 Calculator

Given Input numbers are 478, 664, 44, 924

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

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

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 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

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 478, 664, 44, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 478, 664, 44, 924 is 2.

Therefore, GCD of numbers 478, 664, 44, 924 is 2

Given Input Data is 478, 664, 44, 924

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

Prime Factorization of 478 is 2 x 239

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

Prime Factorization of 44 is 2 x 2 x 11

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(478, 664) = 158696

GCD(478, 664) = ( 478 x 664 ) / 158696

GCD(478, 664) = 317392 / 158696

GCD(478, 664) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 44

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

LCM(2, 44) = 44

GCD(2, 44) = ( 2 x 44 ) / 44

GCD(2, 44) = 88 / 44

GCD(2, 44) = 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 478, 664, 44, 924 is 2

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1. What is the GCD of 478, 664, 44, 924?

GCD of 478, 664, 44, 924 is 2

2. Where do I get the detailed procedure to find GCD of 478, 664, 44, 924?

You can find a detailed procedure to find GCD of 478, 664, 44, 924 on our page.

3. How to find GCD of 478, 664, 44, 924 on a calculator?

You can find the GCD of 478, 664, 44, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.