GCD of 13, 205, 795, 690 Calculator

Given Input numbers are 13, 205, 795, 690

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 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Greatest Common Divisior

We found the divisors of 13, 205, 795, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 205, 795, 690 is 1.

Therefore, GCD of numbers 13, 205, 795, 690 is 1

Given Input Data is 13, 205, 795, 690

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

Prime Factorization of 13 is 13

Prime Factorization of 205 is 5 x 41

Prime Factorization of 795 is 3 x 5 x 53

Prime Factorization of 690 is 2 x 3 x 5 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(13, 205) = 2665

GCD(13, 205) = ( 13 x 205 ) / 2665

GCD(13, 205) = 2665 / 2665

GCD(13, 205) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 795

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

LCM(1, 795) = 795

GCD(1, 795) = ( 1 x 795 ) / 795

GCD(1, 795) = 795 / 795

GCD(1, 795) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

GCD of 13, 205, 795, 690 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 99, 641, 355, 176
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• GCD of 32, 470, 559, 437
• GCD of 19, 156, 540, 960
• GCD of 98, 809, 382, 424

1. What is the GCD of 13, 205, 795, 690?

GCD of 13, 205, 795, 690 is 1

2. Where do I get the detailed procedure to find GCD of 13, 205, 795, 690?

You can find a detailed procedure to find GCD of 13, 205, 795, 690 on our page.

3. How to find GCD of 13, 205, 795, 690 on a calculator?

You can find the GCD of 13, 205, 795, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.