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 786, 621, 13, 273 i.e. 1 largest integer that divides all the numbers equally.
GCD of 786, 621, 13, 273 is 1
GCD(786, 621, 13, 273) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 786, 621, 13, 273 is 1
GCD(786, 621, 13, 273) = 1
Given Input numbers are 786, 621, 13, 273
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 786
List of positive integer divisors of 786 that divides 786 without a remainder.
1, 2, 3, 6, 131, 262, 393, 786
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 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 273
List of positive integer divisors of 273 that divides 273 without a remainder.
1, 3, 7, 13, 21, 39, 91, 273
Greatest Common Divisior
We found the divisors of 786, 621, 13, 273 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 786, 621, 13, 273 is 1.
Therefore, GCD of numbers 786, 621, 13, 273 is 1
Given Input Data is 786, 621, 13, 273
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 786 is 2 x 3 x 131
Prime Factorization of 621 is 3 x 3 x 3 x 23
Prime Factorization of 13 is 13
Prime Factorization of 273 is 3 x 7 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(786, 621) = 162702
GCD(786, 621) = ( 786 x 621 ) / 162702
GCD(786, 621) = 488106 / 162702
GCD(786, 621) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 13) = 39
GCD(3, 13) = ( 3 x 13 ) / 39
GCD(3, 13) = 39 / 39
GCD(3, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 273
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 273) = 273
GCD(1, 273) = ( 1 x 273 ) / 273
GCD(1, 273) = 273 / 273
GCD(1, 273) = 1
GCD of 786, 621, 13, 273 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 786, 621, 13, 273?
GCD of 786, 621, 13, 273 is 1
2. Where do I get the detailed procedure to find GCD of 786, 621, 13, 273?
You can find a detailed procedure to find GCD of 786, 621, 13, 273 on our page.
3. How to find GCD of 786, 621, 13, 273 on a calculator?
You can find the GCD of 786, 621, 13, 273 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.