GCD of 768, 662, 320, 231 Calculator

Given Input numbers are 768, 662, 320, 231

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 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Greatest Common Divisior

We found the divisors of 768, 662, 320, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 662, 320, 231 is 1.

Therefore, GCD of numbers 768, 662, 320, 231 is 1

Given Input Data is 768, 662, 320, 231

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 662 is 2 x 331

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 231 is 3 x 7 x 11

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, 662) = 254208

GCD(768, 662) = ( 768 x 662 ) / 254208

GCD(768, 662) = 508416 / 254208

GCD(768, 662) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 320

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

LCM(2, 320) = 320

GCD(2, 320) = ( 2 x 320 ) / 320

GCD(2, 320) = 640 / 320

GCD(2, 320) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 231

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

LCM(2, 231) = 462

GCD(2, 231) = ( 2 x 231 ) / 462

GCD(2, 231) = 462 / 462

GCD(2, 231) = 1

GCD of 768, 662, 320, 231 is 1

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1. What is the GCD of 768, 662, 320, 231?

GCD of 768, 662, 320, 231 is 1

2. Where do I get the detailed procedure to find GCD of 768, 662, 320, 231?

You can find a detailed procedure to find GCD of 768, 662, 320, 231 on our page.

3. How to find GCD of 768, 662, 320, 231 on a calculator?

You can find the GCD of 768, 662, 320, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.