GCD of 150, 364, 90, 236 Calculator

Given Input numbers are 150, 364, 90, 236

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

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Greatest Common Divisior

We found the divisors of 150, 364, 90, 236 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 364, 90, 236 is 2.

Therefore, GCD of numbers 150, 364, 90, 236 is 2

Given Input Data is 150, 364, 90, 236

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

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 236 is 2 x 2 x 59

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(150, 364) = 27300

GCD(150, 364) = ( 150 x 364 ) / 27300

GCD(150, 364) = 54600 / 27300

GCD(150, 364) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 90

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

LCM(2, 90) = 90

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

GCD(2, 90) = 180 / 90

GCD(2, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 236

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

LCM(2, 236) = 236

GCD(2, 236) = ( 2 x 236 ) / 236

GCD(2, 236) = 472 / 236

GCD(2, 236) = 2

GCD of 150, 364, 90, 236 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 450, 445, 82, 627
• GCD of 311, 372, 49, 258
• GCD of 659, 911, 35, 350
• GCD of 106, 530, 21, 892
• GCD of 185, 281, 17, 712

1. What is the GCD of 150, 364, 90, 236?

GCD of 150, 364, 90, 236 is 2

2. Where do I get the detailed procedure to find GCD of 150, 364, 90, 236?

You can find a detailed procedure to find GCD of 150, 364, 90, 236 on our page.

3. How to find GCD of 150, 364, 90, 236 on a calculator?

You can find the GCD of 150, 364, 90, 236 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.