GCD of 133, 690, 905 Calculator

Given Input numbers are 133, 690, 905

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

Divisors of 133

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

1, 7, 19, 133

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

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Greatest Common Divisior

We found the divisors of 133, 690, 905 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 133, 690, 905 is 1.

Therefore, GCD of numbers 133, 690, 905 is 1

Given Input Data is 133, 690, 905

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

Prime Factorization of 133 is 7 x 19

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 905 is 5 x 181

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(133, 690) = 91770

GCD(133, 690) = ( 133 x 690 ) / 91770

GCD(133, 690) = 91770 / 91770

GCD(133, 690) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 905

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

LCM(1, 905) = 905

GCD(1, 905) = ( 1 x 905 ) / 905

GCD(1, 905) = 905 / 905

GCD(1, 905) = 1

GCD of 133, 690, 905 is 1

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1. What is the GCD of 133, 690, 905?

GCD of 133, 690, 905 is 1

2. Where do I get the detailed procedure to find GCD of 133, 690, 905?

You can find a detailed procedure to find GCD of 133, 690, 905 on our page.

3. How to find GCD of 133, 690, 905 on a calculator?

You can find the GCD of 133, 690, 905 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.