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 102, 149, 369, 241 i.e. 1 largest integer that divides all the numbers equally.
GCD of 102, 149, 369, 241 is 1
GCD(102, 149, 369, 241) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 102, 149, 369, 241 is 1
GCD(102, 149, 369, 241) = 1
Given Input numbers are 102, 149, 369, 241
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 102
List of positive integer divisors of 102 that divides 102 without a remainder.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 241
List of positive integer divisors of 241 that divides 241 without a remainder.
1, 241
Greatest Common Divisior
We found the divisors of 102, 149, 369, 241 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 149, 369, 241 is 1.
Therefore, GCD of numbers 102, 149, 369, 241 is 1
Given Input Data is 102, 149, 369, 241
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 102 is 2 x 3 x 17
Prime Factorization of 149 is 149
Prime Factorization of 369 is 3 x 3 x 41
Prime Factorization of 241 is 241
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(102, 149) = 15198
GCD(102, 149) = ( 102 x 149 ) / 15198
GCD(102, 149) = 15198 / 15198
GCD(102, 149) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 369
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 369) = 369
GCD(1, 369) = ( 1 x 369 ) / 369
GCD(1, 369) = 369 / 369
GCD(1, 369) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 241
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 241) = 241
GCD(1, 241) = ( 1 x 241 ) / 241
GCD(1, 241) = 241 / 241
GCD(1, 241) = 1
GCD of 102, 149, 369, 241 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 102, 149, 369, 241?
GCD of 102, 149, 369, 241 is 1
2. Where do I get the detailed procedure to find GCD of 102, 149, 369, 241?
You can find a detailed procedure to find GCD of 102, 149, 369, 241 on our page.
3. How to find GCD of 102, 149, 369, 241 on a calculator?
You can find the GCD of 102, 149, 369, 241 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.