GCD of 309, 821, 133, 145 Calculator

Given Input numbers are 309, 821, 133, 145

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

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 133

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

1, 7, 19, 133

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Greatest Common Divisior

We found the divisors of 309, 821, 133, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 821, 133, 145 is 1.

Therefore, GCD of numbers 309, 821, 133, 145 is 1

Given Input Data is 309, 821, 133, 145

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 821 is 821

Prime Factorization of 133 is 7 x 19

Prime Factorization of 145 is 5 x 29

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(309, 821) = 253689

GCD(309, 821) = ( 309 x 821 ) / 253689

GCD(309, 821) = 253689 / 253689

GCD(309, 821) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 133

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

LCM(1, 133) = 133

GCD(1, 133) = ( 1 x 133 ) / 133

GCD(1, 133) = 133 / 133

GCD(1, 133) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 145

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

LCM(1, 145) = 145

GCD(1, 145) = ( 1 x 145 ) / 145

GCD(1, 145) = 145 / 145

GCD(1, 145) = 1

GCD of 309, 821, 133, 145 is 1

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1. What is the GCD of 309, 821, 133, 145?

GCD of 309, 821, 133, 145 is 1

2. Where do I get the detailed procedure to find GCD of 309, 821, 133, 145?

You can find a detailed procedure to find GCD of 309, 821, 133, 145 on our page.

3. How to find GCD of 309, 821, 133, 145 on a calculator?

You can find the GCD of 309, 821, 133, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.