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, 604, 346, 381 i.e. 1 largest integer that divides all the numbers equally.
GCD of 369, 604, 346, 381 is 1
GCD(369, 604, 346, 381) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 369, 604, 346, 381 is 1
GCD(369, 604, 346, 381) = 1
Given Input numbers are 369, 604, 346, 381
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 604
List of positive integer divisors of 604 that divides 604 without a remainder.
1, 2, 4, 151, 302, 604
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Divisors of 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Greatest Common Divisior
We found the divisors of 369, 604, 346, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 604, 346, 381 is 1.
Therefore, GCD of numbers 369, 604, 346, 381 is 1
Given Input Data is 369, 604, 346, 381
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 604 is 2 x 2 x 151
Prime Factorization of 346 is 2 x 173
Prime Factorization of 381 is 3 x 127
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, 604) = 222876
GCD(369, 604) = ( 369 x 604 ) / 222876
GCD(369, 604) = 222876 / 222876
GCD(369, 604) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 346
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 346) = 346
GCD(1, 346) = ( 1 x 346 ) / 346
GCD(1, 346) = 346 / 346
GCD(1, 346) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 381
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 381) = 381
GCD(1, 381) = ( 1 x 381 ) / 381
GCD(1, 381) = 381 / 381
GCD(1, 381) = 1
GCD of 369, 604, 346, 381 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 369, 604, 346, 381?
GCD of 369, 604, 346, 381 is 1
2. Where do I get the detailed procedure to find GCD of 369, 604, 346, 381?
You can find a detailed procedure to find GCD of 369, 604, 346, 381 on our page.
3. How to find GCD of 369, 604, 346, 381 on a calculator?
You can find the GCD of 369, 604, 346, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.