GCD of 550, 204, 45, 150 Calculator

Given Input numbers are 550, 204, 45, 150

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

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

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 45

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

1, 3, 5, 9, 15, 45

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 550, 204, 45, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 204, 45, 150 is 1.

Therefore, GCD of numbers 550, 204, 45, 150 is 1

Given Input Data is 550, 204, 45, 150

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

Prime Factorization of 550 is 2 x 5 x 5 x 11

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

Prime Factorization of 45 is 3 x 3 x 5

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(550, 204) = 56100

GCD(550, 204) = ( 550 x 204 ) / 56100

GCD(550, 204) = 112200 / 56100

GCD(550, 204) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 45

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

LCM(2, 45) = 90

GCD(2, 45) = ( 2 x 45 ) / 90

GCD(2, 45) = 90 / 90

GCD(2, 45) = 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 550, 204, 45, 150 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 144, 275, 36, 916
• GCD of 355, 756, 34, 523
• GCD of 982, 643, 13, 991
• GCD of 259, 818, 72, 728
• GCD of 606, 256, 13, 144

1. What is the GCD of 550, 204, 45, 150?

GCD of 550, 204, 45, 150 is 1

2. Where do I get the detailed procedure to find GCD of 550, 204, 45, 150?

You can find a detailed procedure to find GCD of 550, 204, 45, 150 on our page.

3. How to find GCD of 550, 204, 45, 150 on a calculator?

You can find the GCD of 550, 204, 45, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.