GCD of 307, 328, 682, 506 Calculator

Given Input numbers are 307, 328, 682, 506

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

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

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 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Greatest Common Divisior

We found the divisors of 307, 328, 682, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 328, 682, 506 is 1.

Therefore, GCD of numbers 307, 328, 682, 506 is 1

Given Input Data is 307, 328, 682, 506

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

Prime Factorization of 307 is 307

Prime Factorization of 328 is 2 x 2 x 2 x 41

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 506 is 2 x 11 x 23

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(307, 328) = 100696

GCD(307, 328) = ( 307 x 328 ) / 100696

GCD(307, 328) = 100696 / 100696

GCD(307, 328) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 682

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

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

GCD(1, 682) = 682 / 682

GCD(1, 682) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 506

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

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

GCD(1, 506) = 506 / 506

GCD(1, 506) = 1

GCD of 307, 328, 682, 506 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 392, 846, 635, 780
• GCD of 499, 222, 524, 800
• GCD of 979, 367, 527, 272
• GCD of 816, 805, 593, 573
• GCD of 988, 174, 198, 820

1. What is the GCD of 307, 328, 682, 506?

GCD of 307, 328, 682, 506 is 1

2. Where do I get the detailed procedure to find GCD of 307, 328, 682, 506?

You can find a detailed procedure to find GCD of 307, 328, 682, 506 on our page.

3. How to find GCD of 307, 328, 682, 506 on a calculator?

You can find the GCD of 307, 328, 682, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.