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 493, 213, 621, 156 i.e. 1 largest integer that divides all the numbers equally.
GCD of 493, 213, 621, 156 is 1
GCD(493, 213, 621, 156) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 493, 213, 621, 156 is 1
GCD(493, 213, 621, 156) = 1
Given Input numbers are 493, 213, 621, 156
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 493
List of positive integer divisors of 493 that divides 493 without a remainder.
1, 17, 29, 493
Divisors of 213
List of positive integer divisors of 213 that divides 213 without a remainder.
1, 3, 71, 213
Divisors of 621
List of positive integer divisors of 621 that divides 621 without a remainder.
1, 3, 9, 23, 27, 69, 207, 621
Divisors of 156
List of positive integer divisors of 156 that divides 156 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Greatest Common Divisior
We found the divisors of 493, 213, 621, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 493, 213, 621, 156 is 1.
Therefore, GCD of numbers 493, 213, 621, 156 is 1
Given Input Data is 493, 213, 621, 156
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 493 is 17 x 29
Prime Factorization of 213 is 3 x 71
Prime Factorization of 621 is 3 x 3 x 3 x 23
Prime Factorization of 156 is 2 x 2 x 3 x 13
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(493, 213) = 105009
GCD(493, 213) = ( 493 x 213 ) / 105009
GCD(493, 213) = 105009 / 105009
GCD(493, 213) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 621
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 621) = 621
GCD(1, 621) = ( 1 x 621 ) / 621
GCD(1, 621) = 621 / 621
GCD(1, 621) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 156
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 156) = 156
GCD(1, 156) = ( 1 x 156 ) / 156
GCD(1, 156) = 156 / 156
GCD(1, 156) = 1
GCD of 493, 213, 621, 156 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 493, 213, 621, 156?
GCD of 493, 213, 621, 156 is 1
2. Where do I get the detailed procedure to find GCD of 493, 213, 621, 156?
You can find a detailed procedure to find GCD of 493, 213, 621, 156 on our page.
3. How to find GCD of 493, 213, 621, 156 on a calculator?
You can find the GCD of 493, 213, 621, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.