Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 26, 188, 207, 300 i.e. 1 largest integer that divides all the numbers equally.
GCD of 26, 188, 207, 300 is 1
GCD(26, 188, 207, 300) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 26, 188, 207, 300 is 1
GCD(26, 188, 207, 300) = 1
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.
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.