GCD of 682, 362, 66, 923 Calculator

Given Input numbers are 682, 362, 66, 923

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

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 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

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 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Greatest Common Divisior

We found the divisors of 682, 362, 66, 923 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 362, 66, 923 is 1.

Therefore, GCD of numbers 682, 362, 66, 923 is 1

Given Input Data is 682, 362, 66, 923

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

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 362 is 2 x 181

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 923 is 13 x 71

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(682, 362) = 123442

GCD(682, 362) = ( 682 x 362 ) / 123442

GCD(682, 362) = 246884 / 123442

GCD(682, 362) = 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 923

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

LCM(2, 923) = 1846

GCD(2, 923) = ( 2 x 923 ) / 1846

GCD(2, 923) = 1846 / 1846

GCD(2, 923) = 1

GCD of 682, 362, 66, 923 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 550, 328, 22, 946
• GCD of 508, 467, 33, 886
• GCD of 363, 324, 18, 736
• GCD of 610, 480, 89, 129
• GCD of 127, 457, 83, 377

1. What is the GCD of 682, 362, 66, 923?

GCD of 682, 362, 66, 923 is 1

2. Where do I get the detailed procedure to find GCD of 682, 362, 66, 923?

You can find a detailed procedure to find GCD of 682, 362, 66, 923 on our page.

3. How to find GCD of 682, 362, 66, 923 on a calculator?

You can find the GCD of 682, 362, 66, 923 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.