GCD of 309, 850, 20, 170 Calculator

Given Input numbers are 309, 850, 20, 170

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 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Greatest Common Divisior

We found the divisors of 309, 850, 20, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 850, 20, 170 is 1.

Therefore, GCD of numbers 309, 850, 20, 170 is 1

Given Input Data is 309, 850, 20, 170

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 850 is 2 x 5 x 5 x 17

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 170 is 2 x 5 x 17

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, 850) = 262650

GCD(309, 850) = ( 309 x 850 ) / 262650

GCD(309, 850) = 262650 / 262650

GCD(309, 850) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 170

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

LCM(1, 170) = 170

GCD(1, 170) = ( 1 x 170 ) / 170

GCD(1, 170) = 170 / 170

GCD(1, 170) = 1

GCD of 309, 850, 20, 170 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 376, 108, 18, 991
• GCD of 499, 150, 52, 698
• GCD of 494, 558, 40, 822
• GCD of 922, 129, 73, 868
• GCD of 673, 652, 96, 768

1. What is the GCD of 309, 850, 20, 170?

GCD of 309, 850, 20, 170 is 1

2. Where do I get the detailed procedure to find GCD of 309, 850, 20, 170?

You can find a detailed procedure to find GCD of 309, 850, 20, 170 on our page.

3. How to find GCD of 309, 850, 20, 170 on a calculator?

You can find the GCD of 309, 850, 20, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.