GCD of 788, 208, 85, 522 Calculator

Given Input numbers are 788, 208, 85, 522

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

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

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 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Greatest Common Divisior

We found the divisors of 788, 208, 85, 522 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 788, 208, 85, 522 is 1.

Therefore, GCD of numbers 788, 208, 85, 522 is 1

Given Input Data is 788, 208, 85, 522

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

Prime Factorization of 788 is 2 x 2 x 197

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

Prime Factorization of 85 is 5 x 17

Prime Factorization of 522 is 2 x 3 x 3 x 29

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(788, 208) = 40976

GCD(788, 208) = ( 788 x 208 ) / 40976

GCD(788, 208) = 163904 / 40976

GCD(788, 208) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 85

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

LCM(4, 85) = 340

GCD(4, 85) = ( 4 x 85 ) / 340

GCD(4, 85) = 340 / 340

GCD(4, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 522

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

LCM(1, 522) = 522

GCD(1, 522) = ( 1 x 522 ) / 522

GCD(1, 522) = 522 / 522

GCD(1, 522) = 1

GCD of 788, 208, 85, 522 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 467, 447, 45, 197
• GCD of 441, 920, 54, 314
• GCD of 678, 891, 56, 367
• GCD of 919, 986, 73, 308
• GCD of 964, 252, 77, 312

1. What is the GCD of 788, 208, 85, 522?

GCD of 788, 208, 85, 522 is 1

2. Where do I get the detailed procedure to find GCD of 788, 208, 85, 522?

You can find a detailed procedure to find GCD of 788, 208, 85, 522 on our page.

3. How to find GCD of 788, 208, 85, 522 on a calculator?

You can find the GCD of 788, 208, 85, 522 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.