GCD of 726, 412, 13, 169 Calculator

Given Input numbers are 726, 412, 13, 169

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

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 13

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

1, 13

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Greatest Common Divisior

We found the divisors of 726, 412, 13, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 412, 13, 169 is 1.

Therefore, GCD of numbers 726, 412, 13, 169 is 1

Given Input Data is 726, 412, 13, 169

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

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 13 is 13

Prime Factorization of 169 is 13 x 13

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(726, 412) = 149556

GCD(726, 412) = ( 726 x 412 ) / 149556

GCD(726, 412) = 299112 / 149556

GCD(726, 412) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 13

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

LCM(2, 13) = 26

GCD(2, 13) = ( 2 x 13 ) / 26

GCD(2, 13) = 26 / 26

GCD(2, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 169

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

LCM(1, 169) = 169

GCD(1, 169) = ( 1 x 169 ) / 169

GCD(1, 169) = 169 / 169

GCD(1, 169) = 1

GCD of 726, 412, 13, 169 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 966, 600, 39, 571
• GCD of 715, 186, 92, 545
• GCD of 941, 713, 30, 812
• GCD of 181, 165, 88, 472
• GCD of 411, 328, 98, 183

1. What is the GCD of 726, 412, 13, 169?

GCD of 726, 412, 13, 169 is 1

2. Where do I get the detailed procedure to find GCD of 726, 412, 13, 169?

You can find a detailed procedure to find GCD of 726, 412, 13, 169 on our page.

3. How to find GCD of 726, 412, 13, 169 on a calculator?

You can find the GCD of 726, 412, 13, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.