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 213, 112, 93, 323 i.e. 1 largest integer that divides all the numbers equally.
GCD of 213, 112, 93, 323 is 1
GCD(213, 112, 93, 323) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 213, 112, 93, 323 is 1
GCD(213, 112, 93, 323) = 1
Given Input numbers are 213, 112, 93, 323
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 213
List of positive integer divisors of 213 that divides 213 without a remainder.
1, 3, 71, 213
Divisors of 112
List of positive integer divisors of 112 that divides 112 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 93
List of positive integer divisors of 93 that divides 93 without a remainder.
1, 3, 31, 93
Divisors of 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Greatest Common Divisior
We found the divisors of 213, 112, 93, 323 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 112, 93, 323 is 1.
Therefore, GCD of numbers 213, 112, 93, 323 is 1
Given Input Data is 213, 112, 93, 323
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 213 is 3 x 71
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
Prime Factorization of 93 is 3 x 31
Prime Factorization of 323 is 17 x 19
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(213, 112) = 23856
GCD(213, 112) = ( 213 x 112 ) / 23856
GCD(213, 112) = 23856 / 23856
GCD(213, 112) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 93
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 93) = 93
GCD(1, 93) = ( 1 x 93 ) / 93
GCD(1, 93) = 93 / 93
GCD(1, 93) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 323
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 323) = 323
GCD(1, 323) = ( 1 x 323 ) / 323
GCD(1, 323) = 323 / 323
GCD(1, 323) = 1
GCD of 213, 112, 93, 323 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 213, 112, 93, 323?
GCD of 213, 112, 93, 323 is 1
2. Where do I get the detailed procedure to find GCD of 213, 112, 93, 323?
You can find a detailed procedure to find GCD of 213, 112, 93, 323 on our page.
3. How to find GCD of 213, 112, 93, 323 on a calculator?
You can find the GCD of 213, 112, 93, 323 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.