GCD of 324, 628, 74, 928 Calculator

Given Input numbers are 324, 628, 74, 928

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

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Greatest Common Divisior

We found the divisors of 324, 628, 74, 928 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 324, 628, 74, 928 is 2.

Therefore, GCD of numbers 324, 628, 74, 928 is 2

Given Input Data is 324, 628, 74, 928

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

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 74 is 2 x 37

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

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(324, 628) = 50868

GCD(324, 628) = ( 324 x 628 ) / 50868

GCD(324, 628) = 203472 / 50868

GCD(324, 628) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 74

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

LCM(4, 74) = 148

GCD(4, 74) = ( 4 x 74 ) / 148

GCD(4, 74) = 296 / 148

GCD(4, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 928

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

LCM(2, 928) = 928

GCD(2, 928) = ( 2 x 928 ) / 928

GCD(2, 928) = 1856 / 928

GCD(2, 928) = 2

GCD of 324, 628, 74, 928 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 309, 659, 69, 950
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• GCD of 608, 750, 44, 965

1. What is the GCD of 324, 628, 74, 928?

GCD of 324, 628, 74, 928 is 2

2. Where do I get the detailed procedure to find GCD of 324, 628, 74, 928?

You can find a detailed procedure to find GCD of 324, 628, 74, 928 on our page.

3. How to find GCD of 324, 628, 74, 928 on a calculator?

You can find the GCD of 324, 628, 74, 928 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.