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, 763, 602, 358 i.e. 1 largest integer that divides all the numbers equally.
GCD of 322, 763, 602, 358 is 1
GCD(322, 763, 602, 358) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 322, 763, 602, 358 is 1
GCD(322, 763, 602, 358) = 1
Given Input numbers are 322, 763, 602, 358
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 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Divisors of 602
List of positive integer divisors of 602 that divides 602 without a remainder.
1, 2, 7, 14, 43, 86, 301, 602
Divisors of 358
List of positive integer divisors of 358 that divides 358 without a remainder.
1, 2, 179, 358
Greatest Common Divisior
We found the divisors of 322, 763, 602, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 763, 602, 358 is 1.
Therefore, GCD of numbers 322, 763, 602, 358 is 1
Given Input Data is 322, 763, 602, 358
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 763 is 7 x 109
Prime Factorization of 602 is 2 x 7 x 43
Prime Factorization of 358 is 2 x 179
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, 763) = 35098
GCD(322, 763) = ( 322 x 763 ) / 35098
GCD(322, 763) = 245686 / 35098
GCD(322, 763) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 602
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 602) = 602
GCD(7, 602) = ( 7 x 602 ) / 602
GCD(7, 602) = 4214 / 602
GCD(7, 602) = 7
Step3:
Here we consider the GCD from the above i.e. 7 as first number and the next as 358
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 358) = 2506
GCD(7, 358) = ( 7 x 358 ) / 2506
GCD(7, 358) = 2506 / 2506
GCD(7, 358) = 1
GCD of 322, 763, 602, 358 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 322, 763, 602, 358?
GCD of 322, 763, 602, 358 is 1
2. Where do I get the detailed procedure to find GCD of 322, 763, 602, 358?
You can find a detailed procedure to find GCD of 322, 763, 602, 358 on our page.
3. How to find GCD of 322, 763, 602, 358 on a calculator?
You can find the GCD of 322, 763, 602, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.