GCD of 768, 339, 478, 222 Calculator

Given Input numbers are 768, 339, 478, 222

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 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Greatest Common Divisior

We found the divisors of 768, 339, 478, 222 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 339, 478, 222 is 1.

Therefore, GCD of numbers 768, 339, 478, 222 is 1

Given Input Data is 768, 339, 478, 222

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 339 is 3 x 113

Prime Factorization of 478 is 2 x 239

Prime Factorization of 222 is 2 x 3 x 37

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, 339) = 86784

GCD(768, 339) = ( 768 x 339 ) / 86784

GCD(768, 339) = 260352 / 86784

GCD(768, 339) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 478

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

LCM(3, 478) = 1434

GCD(3, 478) = ( 3 x 478 ) / 1434

GCD(3, 478) = 1434 / 1434

GCD(3, 478) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 222

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

LCM(1, 222) = 222

GCD(1, 222) = ( 1 x 222 ) / 222

GCD(1, 222) = 222 / 222

GCD(1, 222) = 1

GCD of 768, 339, 478, 222 is 1

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1. What is the GCD of 768, 339, 478, 222?

GCD of 768, 339, 478, 222 is 1

2. Where do I get the detailed procedure to find GCD of 768, 339, 478, 222?

You can find a detailed procedure to find GCD of 768, 339, 478, 222 on our page.

3. How to find GCD of 768, 339, 478, 222 on a calculator?

You can find the GCD of 768, 339, 478, 222 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.