GCD of 13, 290, 825, 786 Calculator

Given Input numbers are 13, 290, 825, 786

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 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Greatest Common Divisior

We found the divisors of 13, 290, 825, 786 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 290, 825, 786 is 1.

Therefore, GCD of numbers 13, 290, 825, 786 is 1

Given Input Data is 13, 290, 825, 786

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

Prime Factorization of 13 is 13

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 786 is 2 x 3 x 131

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, 290) = 3770

GCD(13, 290) = ( 13 x 290 ) / 3770

GCD(13, 290) = 3770 / 3770

GCD(13, 290) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

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

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 786

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

LCM(1, 786) = 786

GCD(1, 786) = ( 1 x 786 ) / 786

GCD(1, 786) = 786 / 786

GCD(1, 786) = 1

GCD of 13, 290, 825, 786 is 1

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• GCD of 12, 818, 836, 188
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1. What is the GCD of 13, 290, 825, 786?

GCD of 13, 290, 825, 786 is 1

2. Where do I get the detailed procedure to find GCD of 13, 290, 825, 786?

You can find a detailed procedure to find GCD of 13, 290, 825, 786 on our page.

3. How to find GCD of 13, 290, 825, 786 on a calculator?

You can find the GCD of 13, 290, 825, 786 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.