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 820, 452, 27, 786 i.e. 1 largest integer that divides all the numbers equally.
GCD of 820, 452, 27, 786 is 1
GCD(820, 452, 27, 786) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 820, 452, 27, 786 is 1
GCD(820, 452, 27, 786) = 1
Given Input numbers are 820, 452, 27, 786
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 452
List of positive integer divisors of 452 that divides 452 without a remainder.
1, 2, 4, 113, 226, 452
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 786
List of positive integer divisors of 786 that divides 786 without a remainder.
1, 2, 3, 6, 131, 262, 393, 786
Greatest Common Divisior
We found the divisors of 820, 452, 27, 786 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 452, 27, 786 is 1.
Therefore, GCD of numbers 820, 452, 27, 786 is 1
Given Input Data is 820, 452, 27, 786
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 452 is 2 x 2 x 113
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 786 is 2 x 3 x 131
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(820, 452) = 92660
GCD(820, 452) = ( 820 x 452 ) / 92660
GCD(820, 452) = 370640 / 92660
GCD(820, 452) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 27) = 108
GCD(4, 27) = ( 4 x 27 ) / 108
GCD(4, 27) = 108 / 108
GCD(4, 27) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 786
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 786) = 786
GCD(1, 786) = ( 1 x 786 ) / 786
GCD(1, 786) = 786 / 786
GCD(1, 786) = 1
GCD of 820, 452, 27, 786 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 820, 452, 27, 786?
GCD of 820, 452, 27, 786 is 1
2. Where do I get the detailed procedure to find GCD of 820, 452, 27, 786?
You can find a detailed procedure to find GCD of 820, 452, 27, 786 on our page.
3. How to find GCD of 820, 452, 27, 786 on a calculator?
You can find the GCD of 820, 452, 27, 786 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.