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 321, 367, 68, 177 i.e. 1 largest integer that divides all the numbers equally.
GCD of 321, 367, 68, 177 is 1
GCD(321, 367, 68, 177) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 321, 367, 68, 177 is 1
GCD(321, 367, 68, 177) = 1
Given Input numbers are 321, 367, 68, 177
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 321
List of positive integer divisors of 321 that divides 321 without a remainder.
1, 3, 107, 321
Divisors of 367
List of positive integer divisors of 367 that divides 367 without a remainder.
1, 367
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Greatest Common Divisior
We found the divisors of 321, 367, 68, 177 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 367, 68, 177 is 1.
Therefore, GCD of numbers 321, 367, 68, 177 is 1
Given Input Data is 321, 367, 68, 177
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 321 is 3 x 107
Prime Factorization of 367 is 367
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 177 is 3 x 59
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(321, 367) = 117807
GCD(321, 367) = ( 321 x 367 ) / 117807
GCD(321, 367) = 117807 / 117807
GCD(321, 367) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 68) = 68
GCD(1, 68) = ( 1 x 68 ) / 68
GCD(1, 68) = 68 / 68
GCD(1, 68) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 177
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 177) = 177
GCD(1, 177) = ( 1 x 177 ) / 177
GCD(1, 177) = 177 / 177
GCD(1, 177) = 1
GCD of 321, 367, 68, 177 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 321, 367, 68, 177?
GCD of 321, 367, 68, 177 is 1
2. Where do I get the detailed procedure to find GCD of 321, 367, 68, 177?
You can find a detailed procedure to find GCD of 321, 367, 68, 177 on our page.
3. How to find GCD of 321, 367, 68, 177 on a calculator?
You can find the GCD of 321, 367, 68, 177 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.