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 369, 251, 60, 206 i.e. 1 largest integer that divides all the numbers equally.
GCD of 369, 251, 60, 206 is 1
GCD(369, 251, 60, 206) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 369, 251, 60, 206 is 1
GCD(369, 251, 60, 206) = 1
Given Input numbers are 369, 251, 60, 206
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 251
List of positive integer divisors of 251 that divides 251 without a remainder.
1, 251
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 206
List of positive integer divisors of 206 that divides 206 without a remainder.
1, 2, 103, 206
Greatest Common Divisior
We found the divisors of 369, 251, 60, 206 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 251, 60, 206 is 1.
Therefore, GCD of numbers 369, 251, 60, 206 is 1
Given Input Data is 369, 251, 60, 206
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 369 is 3 x 3 x 41
Prime Factorization of 251 is 251
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 206 is 2 x 103
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(369, 251) = 92619
GCD(369, 251) = ( 369 x 251 ) / 92619
GCD(369, 251) = 92619 / 92619
GCD(369, 251) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 60) = 60
GCD(1, 60) = ( 1 x 60 ) / 60
GCD(1, 60) = 60 / 60
GCD(1, 60) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 206
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 206) = 206
GCD(1, 206) = ( 1 x 206 ) / 206
GCD(1, 206) = 206 / 206
GCD(1, 206) = 1
GCD of 369, 251, 60, 206 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 369, 251, 60, 206?
GCD of 369, 251, 60, 206 is 1
2. Where do I get the detailed procedure to find GCD of 369, 251, 60, 206?
You can find a detailed procedure to find GCD of 369, 251, 60, 206 on our page.
3. How to find GCD of 369, 251, 60, 206 on a calculator?
You can find the GCD of 369, 251, 60, 206 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.