GCD of 208, 764, 65, 424 Calculator

Given Input numbers are 208, 764, 65, 424

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

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

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Greatest Common Divisior

We found the divisors of 208, 764, 65, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 764, 65, 424 is 1.

Therefore, GCD of numbers 208, 764, 65, 424 is 1

Given Input Data is 208, 764, 65, 424

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

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

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 65 is 5 x 13

Prime Factorization of 424 is 2 x 2 x 2 x 53

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(208, 764) = 39728

GCD(208, 764) = ( 208 x 764 ) / 39728

GCD(208, 764) = 158912 / 39728

GCD(208, 764) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 65

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

LCM(4, 65) = 260

GCD(4, 65) = ( 4 x 65 ) / 260

GCD(4, 65) = 260 / 260

GCD(4, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 424

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

LCM(1, 424) = 424

GCD(1, 424) = ( 1 x 424 ) / 424

GCD(1, 424) = 424 / 424

GCD(1, 424) = 1

GCD of 208, 764, 65, 424 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 302, 157, 74, 982
• GCD of 192, 442, 54, 247
• GCD of 940, 274, 28, 867
• GCD of 196, 466, 10, 748
• GCD of 169, 661, 68, 185

1. What is the GCD of 208, 764, 65, 424?

GCD of 208, 764, 65, 424 is 1

2. Where do I get the detailed procedure to find GCD of 208, 764, 65, 424?

You can find a detailed procedure to find GCD of 208, 764, 65, 424 on our page.

3. How to find GCD of 208, 764, 65, 424 on a calculator?

You can find the GCD of 208, 764, 65, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.