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 38, 207, 225, 661 i.e. 1 largest integer that divides all the numbers equally.
GCD of 38, 207, 225, 661 is 1
GCD(38, 207, 225, 661) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 38, 207, 225, 661 is 1
GCD(38, 207, 225, 661) = 1
Given Input numbers are 38, 207, 225, 661
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 207
List of positive integer divisors of 207 that divides 207 without a remainder.
1, 3, 9, 23, 69, 207
Divisors of 225
List of positive integer divisors of 225 that divides 225 without a remainder.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 661
List of positive integer divisors of 661 that divides 661 without a remainder.
1, 661
Greatest Common Divisior
We found the divisors of 38, 207, 225, 661 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 207, 225, 661 is 1.
Therefore, GCD of numbers 38, 207, 225, 661 is 1
Given Input Data is 38, 207, 225, 661
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 38 is 2 x 19
Prime Factorization of 207 is 3 x 3 x 23
Prime Factorization of 225 is 3 x 3 x 5 x 5
Prime Factorization of 661 is 661
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(38, 207) = 7866
GCD(38, 207) = ( 38 x 207 ) / 7866
GCD(38, 207) = 7866 / 7866
GCD(38, 207) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 225
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 225) = 225
GCD(1, 225) = ( 1 x 225 ) / 225
GCD(1, 225) = 225 / 225
GCD(1, 225) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 661
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 661) = 661
GCD(1, 661) = ( 1 x 661 ) / 661
GCD(1, 661) = 661 / 661
GCD(1, 661) = 1
GCD of 38, 207, 225, 661 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 38, 207, 225, 661?
GCD of 38, 207, 225, 661 is 1
2. Where do I get the detailed procedure to find GCD of 38, 207, 225, 661?
You can find a detailed procedure to find GCD of 38, 207, 225, 661 on our page.
3. How to find GCD of 38, 207, 225, 661 on a calculator?
You can find the GCD of 38, 207, 225, 661 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.