GCD of 26, 188, 207, 300 Calculator

Given Input numbers are 26, 188, 207, 300

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

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

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

Greatest Common Divisior

We found the divisors of 26, 188, 207, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 188, 207, 300 is 1.

Therefore, GCD of numbers 26, 188, 207, 300 is 1

Given Input Data is 26, 188, 207, 300

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

Prime Factorization of 26 is 2 x 13

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 207 is 3 x 3 x 23

Prime Factorization of 300 is 2 x 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(26, 188) = 2444

GCD(26, 188) = ( 26 x 188 ) / 2444

GCD(26, 188) = 4888 / 2444

GCD(26, 188) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 207

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

LCM(2, 207) = 414

GCD(2, 207) = ( 2 x 207 ) / 414

GCD(2, 207) = 414 / 414

GCD(2, 207) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 300

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

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

GCD(1, 300) = 300 / 300

GCD(1, 300) = 1

GCD of 26, 188, 207, 300 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 59, 904, 196, 900
• GCD of 33, 472, 850, 477
• GCD of 30, 994, 535, 801
• GCD of 24, 334, 495, 402
• GCD of 63, 868, 215, 452

1. What is the GCD of 26, 188, 207, 300?

GCD of 26, 188, 207, 300 is 1

2. Where do I get the detailed procedure to find GCD of 26, 188, 207, 300?

You can find a detailed procedure to find GCD of 26, 188, 207, 300 on our page.

3. How to find GCD of 26, 188, 207, 300 on a calculator?

You can find the GCD of 26, 188, 207, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.