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, 325, 42, 210 i.e. 1 largest integer that divides all the numbers equally.
GCD of 322, 325, 42, 210 is 1
GCD(322, 325, 42, 210) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 322, 325, 42, 210 is 1
GCD(322, 325, 42, 210) = 1
Given Input numbers are 322, 325, 42, 210
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 325
List of positive integer divisors of 325 that divides 325 without a remainder.
1, 5, 13, 25, 65, 325
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 210
List of positive integer divisors of 210 that divides 210 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Greatest Common Divisior
We found the divisors of 322, 325, 42, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 325, 42, 210 is 1.
Therefore, GCD of numbers 322, 325, 42, 210 is 1
Given Input Data is 322, 325, 42, 210
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 325 is 5 x 5 x 13
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 210 is 2 x 3 x 5 x 7
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, 325) = 104650
GCD(322, 325) = ( 322 x 325 ) / 104650
GCD(322, 325) = 104650 / 104650
GCD(322, 325) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 42) = 42
GCD(1, 42) = ( 1 x 42 ) / 42
GCD(1, 42) = 42 / 42
GCD(1, 42) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 210
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 210) = 210
GCD(1, 210) = ( 1 x 210 ) / 210
GCD(1, 210) = 210 / 210
GCD(1, 210) = 1
GCD of 322, 325, 42, 210 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 322, 325, 42, 210?
GCD of 322, 325, 42, 210 is 1
2. Where do I get the detailed procedure to find GCD of 322, 325, 42, 210?
You can find a detailed procedure to find GCD of 322, 325, 42, 210 on our page.
3. How to find GCD of 322, 325, 42, 210 on a calculator?
You can find the GCD of 322, 325, 42, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.