GCD of 26, 342, 717, 682 Calculator

Given Input numbers are 26, 342, 717, 682

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

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

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 26, 342, 717, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 342, 717, 682 is 1.

Therefore, GCD of numbers 26, 342, 717, 682 is 1

Given Input Data is 26, 342, 717, 682

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

Prime Factorization of 26 is 2 x 13

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 717 is 3 x 239

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(26, 342) = 4446

GCD(26, 342) = ( 26 x 342 ) / 4446

GCD(26, 342) = 8892 / 4446

GCD(26, 342) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 717

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

LCM(2, 717) = 1434

GCD(2, 717) = ( 2 x 717 ) / 1434

GCD(2, 717) = 1434 / 1434

GCD(2, 717) = 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 26, 342, 717, 682 is 1

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• GCD of 79, 679, 998, 457
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1. What is the GCD of 26, 342, 717, 682?

GCD of 26, 342, 717, 682 is 1

2. Where do I get the detailed procedure to find GCD of 26, 342, 717, 682?

You can find a detailed procedure to find GCD of 26, 342, 717, 682 on our page.

3. How to find GCD of 26, 342, 717, 682 on a calculator?

You can find the GCD of 26, 342, 717, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.