GCD of 150, 226, 97, 378 Calculator

Given Input numbers are 150, 226, 97, 378

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 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Greatest Common Divisior

We found the divisors of 150, 226, 97, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 226, 97, 378 is 1.

Therefore, GCD of numbers 150, 226, 97, 378 is 1

Given Input Data is 150, 226, 97, 378

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 226 is 2 x 113

Prime Factorization of 97 is 97

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

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(150, 226) = 16950

GCD(150, 226) = ( 150 x 226 ) / 16950

GCD(150, 226) = 33900 / 16950

GCD(150, 226) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 97

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

LCM(2, 97) = 194

GCD(2, 97) = ( 2 x 97 ) / 194

GCD(2, 97) = 194 / 194

GCD(2, 97) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 378

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

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

GCD(1, 378) = 378 / 378

GCD(1, 378) = 1

GCD of 150, 226, 97, 378 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 656, 514, 71, 203
• GCD of 137, 637, 99, 867
• GCD of 380, 515, 96, 217
• GCD of 407, 666, 98, 495
• GCD of 771, 906, 21, 752

1. What is the GCD of 150, 226, 97, 378?

GCD of 150, 226, 97, 378 is 1

2. Where do I get the detailed procedure to find GCD of 150, 226, 97, 378?

You can find a detailed procedure to find GCD of 150, 226, 97, 378 on our page.

3. How to find GCD of 150, 226, 97, 378 on a calculator?

You can find the GCD of 150, 226, 97, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.