GCD of 422, 960, 921, 768 Calculator

Given Input numbers are 422, 960, 921, 768

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

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

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

Greatest Common Divisior

We found the divisors of 422, 960, 921, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 960, 921, 768 is 1.

Therefore, GCD of numbers 422, 960, 921, 768 is 1

Given Input Data is 422, 960, 921, 768

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 921 is 3 x 307

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

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(422, 960) = 202560

GCD(422, 960) = ( 422 x 960 ) / 202560

GCD(422, 960) = 405120 / 202560

GCD(422, 960) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 921

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

LCM(2, 921) = 1842

GCD(2, 921) = ( 2 x 921 ) / 1842

GCD(2, 921) = 1842 / 1842

GCD(2, 921) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 768

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

LCM(1, 768) = 768

GCD(1, 768) = ( 1 x 768 ) / 768

GCD(1, 768) = 768 / 768

GCD(1, 768) = 1

GCD of 422, 960, 921, 768 is 1

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1. What is the GCD of 422, 960, 921, 768?

GCD of 422, 960, 921, 768 is 1

2. Where do I get the detailed procedure to find GCD of 422, 960, 921, 768?

You can find a detailed procedure to find GCD of 422, 960, 921, 768 on our page.

3. How to find GCD of 422, 960, 921, 768 on a calculator?

You can find the GCD of 422, 960, 921, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.