GCD of 768, 324, 953, 190 Calculator

Given Input numbers are 768, 324, 953, 190

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

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

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 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Divisors of 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Greatest Common Divisior

We found the divisors of 768, 324, 953, 190 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 324, 953, 190 is 1.

Therefore, GCD of numbers 768, 324, 953, 190 is 1

Given Input Data is 768, 324, 953, 190

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

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Prime Factorization of 953 is 953

Prime Factorization of 190 is 2 x 5 x 19

The above numbers do not have any common prime factor. So GCD is 1

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(768, 324) = 20736

GCD(768, 324) = ( 768 x 324 ) / 20736

GCD(768, 324) = 248832 / 20736

GCD(768, 324) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 953

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

LCM(12, 953) = 11436

GCD(12, 953) = ( 12 x 953 ) / 11436

GCD(12, 953) = 11436 / 11436

GCD(12, 953) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 190

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

LCM(1, 190) = 190

GCD(1, 190) = ( 1 x 190 ) / 190

GCD(1, 190) = 190 / 190

GCD(1, 190) = 1

GCD of 768, 324, 953, 190 is 1

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1. What is the GCD of 768, 324, 953, 190?

GCD of 768, 324, 953, 190 is 1

2. Where do I get the detailed procedure to find GCD of 768, 324, 953, 190?

You can find a detailed procedure to find GCD of 768, 324, 953, 190 on our page.

3. How to find GCD of 768, 324, 953, 190 on a calculator?

You can find the GCD of 768, 324, 953, 190 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.