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 361, 204, 376, 685 i.e. 1 largest integer that divides all the numbers equally.
GCD of 361, 204, 376, 685 is 1
GCD(361, 204, 376, 685) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 361, 204, 376, 685 is 1
GCD(361, 204, 376, 685) = 1
Given Input numbers are 361, 204, 376, 685
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
Divisors of 204
List of positive integer divisors of 204 that divides 204 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 685
List of positive integer divisors of 685 that divides 685 without a remainder.
1, 5, 137, 685
Greatest Common Divisior
We found the divisors of 361, 204, 376, 685 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 204, 376, 685 is 1.
Therefore, GCD of numbers 361, 204, 376, 685 is 1
Given Input Data is 361, 204, 376, 685
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 361 is 19 x 19
Prime Factorization of 204 is 2 x 2 x 3 x 17
Prime Factorization of 376 is 2 x 2 x 2 x 47
Prime Factorization of 685 is 5 x 137
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(361, 204) = 73644
GCD(361, 204) = ( 361 x 204 ) / 73644
GCD(361, 204) = 73644 / 73644
GCD(361, 204) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 376
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 376) = 376
GCD(1, 376) = ( 1 x 376 ) / 376
GCD(1, 376) = 376 / 376
GCD(1, 376) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 685
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 685) = 685
GCD(1, 685) = ( 1 x 685 ) / 685
GCD(1, 685) = 685 / 685
GCD(1, 685) = 1
GCD of 361, 204, 376, 685 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 361, 204, 376, 685?
GCD of 361, 204, 376, 685 is 1
2. Where do I get the detailed procedure to find GCD of 361, 204, 376, 685?
You can find a detailed procedure to find GCD of 361, 204, 376, 685 on our page.
3. How to find GCD of 361, 204, 376, 685 on a calculator?
You can find the GCD of 361, 204, 376, 685 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.