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, 753, 14, 754 i.e. 1 largest integer that divides all the numbers equally.
GCD of 322, 753, 14, 754 is 1
GCD(322, 753, 14, 754) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 322, 753, 14, 754 is 1
GCD(322, 753, 14, 754) = 1
Given Input numbers are 322, 753, 14, 754
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 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 754
List of positive integer divisors of 754 that divides 754 without a remainder.
1, 2, 13, 26, 29, 58, 377, 754
Greatest Common Divisior
We found the divisors of 322, 753, 14, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 753, 14, 754 is 1.
Therefore, GCD of numbers 322, 753, 14, 754 is 1
Given Input Data is 322, 753, 14, 754
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 753 is 3 x 251
Prime Factorization of 14 is 2 x 7
Prime Factorization of 754 is 2 x 13 x 29
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, 753) = 242466
GCD(322, 753) = ( 322 x 753 ) / 242466
GCD(322, 753) = 242466 / 242466
GCD(322, 753) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 14
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 14) = 14
GCD(1, 14) = ( 1 x 14 ) / 14
GCD(1, 14) = 14 / 14
GCD(1, 14) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 754
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 754) = 754
GCD(1, 754) = ( 1 x 754 ) / 754
GCD(1, 754) = 754 / 754
GCD(1, 754) = 1
GCD of 322, 753, 14, 754 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 322, 753, 14, 754?
GCD of 322, 753, 14, 754 is 1
2. Where do I get the detailed procedure to find GCD of 322, 753, 14, 754?
You can find a detailed procedure to find GCD of 322, 753, 14, 754 on our page.
3. How to find GCD of 322, 753, 14, 754 on a calculator?
You can find the GCD of 322, 753, 14, 754 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.