GCD of 764, 468, 30, 944 Calculator

Given Input numbers are 764, 468, 30, 944

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

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

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 764, 468, 30, 944 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 468, 30, 944 is 2.

Therefore, GCD of numbers 764, 468, 30, 944 is 2

Given Input Data is 764, 468, 30, 944

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

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 30 is 2 x 3 x 5

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

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(764, 468) = 89388

GCD(764, 468) = ( 764 x 468 ) / 89388

GCD(764, 468) = 357552 / 89388

GCD(764, 468) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 30

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

LCM(4, 30) = 60

GCD(4, 30) = ( 4 x 30 ) / 60

GCD(4, 30) = 120 / 60

GCD(4, 30) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 944

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

LCM(2, 944) = 944

GCD(2, 944) = ( 2 x 944 ) / 944

GCD(2, 944) = 1888 / 944

GCD(2, 944) = 2

GCD of 764, 468, 30, 944 is 2

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1. What is the GCD of 764, 468, 30, 944?

GCD of 764, 468, 30, 944 is 2

2. Where do I get the detailed procedure to find GCD of 764, 468, 30, 944?

You can find a detailed procedure to find GCD of 764, 468, 30, 944 on our page.

3. How to find GCD of 764, 468, 30, 944 on a calculator?

You can find the GCD of 764, 468, 30, 944 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.