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 827, 551, 61, 966 i.e. 1 largest integer that divides all the numbers equally.
GCD of 827, 551, 61, 966 is 1
GCD(827, 551, 61, 966) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 827, 551, 61, 966 is 1
GCD(827, 551, 61, 966) = 1
Given Input numbers are 827, 551, 61, 966
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 827
List of positive integer divisors of 827 that divides 827 without a remainder.
1, 827
Divisors of 551
List of positive integer divisors of 551 that divides 551 without a remainder.
1, 19, 29, 551
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 966
List of positive integer divisors of 966 that divides 966 without a remainder.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Greatest Common Divisior
We found the divisors of 827, 551, 61, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 827, 551, 61, 966 is 1.
Therefore, GCD of numbers 827, 551, 61, 966 is 1
Given Input Data is 827, 551, 61, 966
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 827 is 827
Prime Factorization of 551 is 19 x 29
Prime Factorization of 61 is 61
Prime Factorization of 966 is 2 x 3 x 7 x 23
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(827, 551) = 455677
GCD(827, 551) = ( 827 x 551 ) / 455677
GCD(827, 551) = 455677 / 455677
GCD(827, 551) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 61) = 61
GCD(1, 61) = ( 1 x 61 ) / 61
GCD(1, 61) = 61 / 61
GCD(1, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 966
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 966) = 966
GCD(1, 966) = ( 1 x 966 ) / 966
GCD(1, 966) = 966 / 966
GCD(1, 966) = 1
GCD of 827, 551, 61, 966 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 827, 551, 61, 966?
GCD of 827, 551, 61, 966 is 1
2. Where do I get the detailed procedure to find GCD of 827, 551, 61, 966?
You can find a detailed procedure to find GCD of 827, 551, 61, 966 on our page.
3. How to find GCD of 827, 551, 61, 966 on a calculator?
You can find the GCD of 827, 551, 61, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.