GCD of 300, 126, 29, 226 Calculator

Given Input numbers are 300, 126, 29, 226

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

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 226

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

1, 2, 113, 226

Greatest Common Divisior

We found the divisors of 300, 126, 29, 226 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 126, 29, 226 is 1.

Therefore, GCD of numbers 300, 126, 29, 226 is 1

Given Input Data is 300, 126, 29, 226

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

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 29 is 29

Prime Factorization of 226 is 2 x 113

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(300, 126) = 6300

GCD(300, 126) = ( 300 x 126 ) / 6300

GCD(300, 126) = 37800 / 6300

GCD(300, 126) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 29

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

LCM(6, 29) = 174

GCD(6, 29) = ( 6 x 29 ) / 174

GCD(6, 29) = 174 / 174

GCD(6, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 226

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

LCM(1, 226) = 226

GCD(1, 226) = ( 1 x 226 ) / 226

GCD(1, 226) = 226 / 226

GCD(1, 226) = 1

GCD of 300, 126, 29, 226 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 350, 525, 29, 838
• GCD of 148, 318, 45, 521
• GCD of 619, 552, 92, 619
• GCD of 293, 349, 34, 428
• GCD of 738, 191, 82, 304

1. What is the GCD of 300, 126, 29, 226?

GCD of 300, 126, 29, 226 is 1

2. Where do I get the detailed procedure to find GCD of 300, 126, 29, 226?

You can find a detailed procedure to find GCD of 300, 126, 29, 226 on our page.

3. How to find GCD of 300, 126, 29, 226 on a calculator?

You can find the GCD of 300, 126, 29, 226 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.