GCD of 51, 133, 825, 913 Calculator

Given Input numbers are 51, 133, 825, 913

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

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

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 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Greatest Common Divisior

We found the divisors of 51, 133, 825, 913 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 133, 825, 913 is 1.

Therefore, GCD of numbers 51, 133, 825, 913 is 1

Given Input Data is 51, 133, 825, 913

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

Prime Factorization of 51 is 3 x 17

Prime Factorization of 133 is 7 x 19

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

Prime Factorization of 913 is 11 x 83

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(51, 133) = 6783

GCD(51, 133) = ( 51 x 133 ) / 6783

GCD(51, 133) = 6783 / 6783

GCD(51, 133) = 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 913

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

LCM(1, 913) = 913

GCD(1, 913) = ( 1 x 913 ) / 913

GCD(1, 913) = 913 / 913

GCD(1, 913) = 1

GCD of 51, 133, 825, 913 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 31, 931, 937, 250
• GCD of 50, 794, 942, 230
• GCD of 82, 336, 463, 787
• GCD of 29, 126, 210, 655
• GCD of 26, 635, 210, 743

1. What is the GCD of 51, 133, 825, 913?

GCD of 51, 133, 825, 913 is 1

2. Where do I get the detailed procedure to find GCD of 51, 133, 825, 913?

You can find a detailed procedure to find GCD of 51, 133, 825, 913 on our page.

3. How to find GCD of 51, 133, 825, 913 on a calculator?

You can find the GCD of 51, 133, 825, 913 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.