GCD of 13, 959, 490, 682 Calculator

Given Input numbers are 13, 959, 490, 682

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

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 682

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

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

Greatest Common Divisior

We found the divisors of 13, 959, 490, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 959, 490, 682 is 1.

Therefore, GCD of numbers 13, 959, 490, 682 is 1

Given Input Data is 13, 959, 490, 682

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

Prime Factorization of 13 is 13

Prime Factorization of 959 is 7 x 137

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 682 is 2 x 11 x 31

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(13, 959) = 12467

GCD(13, 959) = ( 13 x 959 ) / 12467

GCD(13, 959) = 12467 / 12467

GCD(13, 959) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 490

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

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

GCD(1, 490) = 490 / 490

GCD(1, 490) = 1

Step3:

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

GCD of 13, 959, 490, 682 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 34, 245, 640, 717
• GCD of 52, 468, 600, 137
• GCD of 84, 655, 524, 824
• GCD of 34, 831, 748, 441
• GCD of 28, 397, 261, 885

1. What is the GCD of 13, 959, 490, 682?

GCD of 13, 959, 490, 682 is 1

2. Where do I get the detailed procedure to find GCD of 13, 959, 490, 682?

You can find a detailed procedure to find GCD of 13, 959, 490, 682 on our page.

3. How to find GCD of 13, 959, 490, 682 on a calculator?

You can find the GCD of 13, 959, 490, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.