GCD of 318, 792, 32, 380 Calculator

Given Input numbers are 318, 792, 32, 380

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

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Greatest Common Divisior

We found the divisors of 318, 792, 32, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 792, 32, 380 is 2.

Therefore, GCD of numbers 318, 792, 32, 380 is 2

Given Input Data is 318, 792, 32, 380

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

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 380 is 2 x 2 x 5 x 19

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(318, 792) = 41976

GCD(318, 792) = ( 318 x 792 ) / 41976

GCD(318, 792) = 251856 / 41976

GCD(318, 792) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 32

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

LCM(6, 32) = 96

GCD(6, 32) = ( 6 x 32 ) / 96

GCD(6, 32) = 192 / 96

GCD(6, 32) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 380

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

LCM(2, 380) = 380

GCD(2, 380) = ( 2 x 380 ) / 380

GCD(2, 380) = 760 / 380

GCD(2, 380) = 2

GCD of 318, 792, 32, 380 is 2

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1. What is the GCD of 318, 792, 32, 380?

GCD of 318, 792, 32, 380 is 2

2. Where do I get the detailed procedure to find GCD of 318, 792, 32, 380?

You can find a detailed procedure to find GCD of 318, 792, 32, 380 on our page.

3. How to find GCD of 318, 792, 32, 380 on a calculator?

You can find the GCD of 318, 792, 32, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.