GCD of 319, 204, 253, 150 Calculator

Given Input numbers are 319, 204, 253, 150

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

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Greatest Common Divisior

We found the divisors of 319, 204, 253, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 319, 204, 253, 150 is 1.

Therefore, GCD of numbers 319, 204, 253, 150 is 1

Given Input Data is 319, 204, 253, 150

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

Prime Factorization of 319 is 11 x 29

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 253 is 11 x 23

Prime Factorization of 150 is 2 x 3 x 5 x 5

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(319, 204) = 65076

GCD(319, 204) = ( 319 x 204 ) / 65076

GCD(319, 204) = 65076 / 65076

GCD(319, 204) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 253

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

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

GCD(1, 253) = 253 / 253

GCD(1, 253) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 150

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

LCM(1, 150) = 150

GCD(1, 150) = ( 1 x 150 ) / 150

GCD(1, 150) = 150 / 150

GCD(1, 150) = 1

GCD of 319, 204, 253, 150 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 301, 729, 168, 260
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1. What is the GCD of 319, 204, 253, 150?

GCD of 319, 204, 253, 150 is 1

2. Where do I get the detailed procedure to find GCD of 319, 204, 253, 150?

You can find a detailed procedure to find GCD of 319, 204, 253, 150 on our page.

3. How to find GCD of 319, 204, 253, 150 on a calculator?

You can find the GCD of 319, 204, 253, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.