GCD of 522, 682, 66, 197 Calculator

Given Input numbers are 522, 682, 66, 197

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

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

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 197

List of positive integer divisors of 197 that divides 197 without a remainder.

1, 197

Greatest Common Divisior

We found the divisors of 522, 682, 66, 197 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 682, 66, 197 is 1.

Therefore, GCD of numbers 522, 682, 66, 197 is 1

Given Input Data is 522, 682, 66, 197

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

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

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 197 is 197

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(522, 682) = 178002

GCD(522, 682) = ( 522 x 682 ) / 178002

GCD(522, 682) = 356004 / 178002

GCD(522, 682) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 66

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

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

GCD(2, 66) = 132 / 66

GCD(2, 66) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 197

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

LCM(2, 197) = 394

GCD(2, 197) = ( 2 x 197 ) / 394

GCD(2, 197) = 394 / 394

GCD(2, 197) = 1

GCD of 522, 682, 66, 197 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 930, 638, 60, 858
• GCD of 917, 935, 15, 407
• GCD of 910, 303, 21, 966
• GCD of 780, 158, 68, 257
• GCD of 971, 967, 19, 970

1. What is the GCD of 522, 682, 66, 197?

GCD of 522, 682, 66, 197 is 1

2. Where do I get the detailed procedure to find GCD of 522, 682, 66, 197?

You can find a detailed procedure to find GCD of 522, 682, 66, 197 on our page.

3. How to find GCD of 522, 682, 66, 197 on a calculator?

You can find the GCD of 522, 682, 66, 197 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.