GCD of 768, 421, 756, 208 Calculator

Given Input numbers are 768, 421, 756, 208

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 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Greatest Common Divisior

We found the divisors of 768, 421, 756, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 421, 756, 208 is 1.

Therefore, GCD of numbers 768, 421, 756, 208 is 1

Given Input Data is 768, 421, 756, 208

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 421 is 421

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

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, 421) = 323328

GCD(768, 421) = ( 768 x 421 ) / 323328

GCD(768, 421) = 323328 / 323328

GCD(768, 421) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 756

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

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

GCD(1, 756) = 756 / 756

GCD(1, 756) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 208

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

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

GCD(1, 208) = 208 / 208

GCD(1, 208) = 1

GCD of 768, 421, 756, 208 is 1

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• GCD of 908, 756, 731, 519

1. What is the GCD of 768, 421, 756, 208?

GCD of 768, 421, 756, 208 is 1

2. Where do I get the detailed procedure to find GCD of 768, 421, 756, 208?

You can find a detailed procedure to find GCD of 768, 421, 756, 208 on our page.

3. How to find GCD of 768, 421, 756, 208 on a calculator?

You can find the GCD of 768, 421, 756, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.