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 322, 731, 68, 767 i.e. 1 largest integer that divides all the numbers equally.
GCD of 322, 731, 68, 767 is 1
GCD(322, 731, 68, 767) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 322, 731, 68, 767 is 1
GCD(322, 731, 68, 767) = 1
Given Input numbers are 322, 731, 68, 767
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 767
List of positive integer divisors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Greatest Common Divisior
We found the divisors of 322, 731, 68, 767 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 731, 68, 767 is 1.
Therefore, GCD of numbers 322, 731, 68, 767 is 1
Given Input Data is 322, 731, 68, 767
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 322 is 2 x 7 x 23
Prime Factorization of 731 is 17 x 43
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 767 is 13 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(322, 731) = 235382
GCD(322, 731) = ( 322 x 731 ) / 235382
GCD(322, 731) = 235382 / 235382
GCD(322, 731) = 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 767
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 767) = 767
GCD(1, 767) = ( 1 x 767 ) / 767
GCD(1, 767) = 767 / 767
GCD(1, 767) = 1
GCD of 322, 731, 68, 767 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 322, 731, 68, 767?
GCD of 322, 731, 68, 767 is 1
2. Where do I get the detailed procedure to find GCD of 322, 731, 68, 767?
You can find a detailed procedure to find GCD of 322, 731, 68, 767 on our page.
3. How to find GCD of 322, 731, 68, 767 on a calculator?
You can find the GCD of 322, 731, 68, 767 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.