GCD of 604, 656, 44, 958 Calculator

Given Input numbers are 604, 656, 44, 958

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

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 44

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

1, 2, 4, 11, 22, 44

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Greatest Common Divisior

We found the divisors of 604, 656, 44, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 604, 656, 44, 958 is 2.

Therefore, GCD of numbers 604, 656, 44, 958 is 2

Given Input Data is 604, 656, 44, 958

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

Prime Factorization of 604 is 2 x 2 x 151

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 958 is 2 x 479

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(604, 656) = 99056

GCD(604, 656) = ( 604 x 656 ) / 99056

GCD(604, 656) = 396224 / 99056

GCD(604, 656) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 44

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

LCM(4, 44) = 44

GCD(4, 44) = ( 4 x 44 ) / 44

GCD(4, 44) = 176 / 44

GCD(4, 44) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 958

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

LCM(4, 958) = 1916

GCD(4, 958) = ( 4 x 958 ) / 1916

GCD(4, 958) = 3832 / 1916

GCD(4, 958) = 2

GCD of 604, 656, 44, 958 is 2

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1. What is the GCD of 604, 656, 44, 958?

GCD of 604, 656, 44, 958 is 2

2. Where do I get the detailed procedure to find GCD of 604, 656, 44, 958?

You can find a detailed procedure to find GCD of 604, 656, 44, 958 on our page.

3. How to find GCD of 604, 656, 44, 958 on a calculator?

You can find the GCD of 604, 656, 44, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.