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 367, 334, 67, 321 i.e. 1 largest integer that divides all the numbers equally.
GCD of 367, 334, 67, 321 is 1
GCD(367, 334, 67, 321) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 367, 334, 67, 321 is 1
GCD(367, 334, 67, 321) = 1
Given Input numbers are 367, 334, 67, 321
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 367
List of positive integer divisors of 367 that divides 367 without a remainder.
1, 367
Divisors of 334
List of positive integer divisors of 334 that divides 334 without a remainder.
1, 2, 167, 334
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 321
List of positive integer divisors of 321 that divides 321 without a remainder.
1, 3, 107, 321
Greatest Common Divisior
We found the divisors of 367, 334, 67, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 367, 334, 67, 321 is 1.
Therefore, GCD of numbers 367, 334, 67, 321 is 1
Given Input Data is 367, 334, 67, 321
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 367 is 367
Prime Factorization of 334 is 2 x 167
Prime Factorization of 67 is 67
Prime Factorization of 321 is 3 x 107
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(367, 334) = 122578
GCD(367, 334) = ( 367 x 334 ) / 122578
GCD(367, 334) = 122578 / 122578
GCD(367, 334) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 67) = 67
GCD(1, 67) = ( 1 x 67 ) / 67
GCD(1, 67) = 67 / 67
GCD(1, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 321
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 321) = 321
GCD(1, 321) = ( 1 x 321 ) / 321
GCD(1, 321) = 321 / 321
GCD(1, 321) = 1
GCD of 367, 334, 67, 321 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 367, 334, 67, 321?
GCD of 367, 334, 67, 321 is 1
2. Where do I get the detailed procedure to find GCD of 367, 334, 67, 321?
You can find a detailed procedure to find GCD of 367, 334, 67, 321 on our page.
3. How to find GCD of 367, 334, 67, 321 on a calculator?
You can find the GCD of 367, 334, 67, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.