GCD of 133, 529, 45, 689 Calculator

Given Input numbers are 133, 529, 45, 689

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 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 133, 529, 45, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 133, 529, 45, 689 is 1.

Therefore, GCD of numbers 133, 529, 45, 689 is 1

Given Input Data is 133, 529, 45, 689

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

Prime Factorization of 133 is 7 x 19

Prime Factorization of 529 is 23 x 23

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 689 is 13 x 53

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, 529) = 70357

GCD(133, 529) = ( 133 x 529 ) / 70357

GCD(133, 529) = 70357 / 70357

GCD(133, 529) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

GCD of 133, 529, 45, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 781, 667, 44, 642
• GCD of 938, 744, 33, 326
• GCD of 462, 818, 29, 154
• GCD of 656, 525, 41, 827
• GCD of 477, 668, 62, 681

1. What is the GCD of 133, 529, 45, 689?

GCD of 133, 529, 45, 689 is 1

2. Where do I get the detailed procedure to find GCD of 133, 529, 45, 689?

You can find a detailed procedure to find GCD of 133, 529, 45, 689 on our page.

3. How to find GCD of 133, 529, 45, 689 on a calculator?

You can find the GCD of 133, 529, 45, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.