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 966, 600, 39, 571 i.e. 1 largest integer that divides all the numbers equally.
GCD of 966, 600, 39, 571 is 1
GCD(966, 600, 39, 571) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 966, 600, 39, 571 is 1
GCD(966, 600, 39, 571) = 1
Given Input numbers are 966, 600, 39, 571
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Divisors of 571
List of positive integer divisors of 571 that divides 571 without a remainder.
1, 571
Greatest Common Divisior
We found the divisors of 966, 600, 39, 571 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 600, 39, 571 is 1.
Therefore, GCD of numbers 966, 600, 39, 571 is 1
Given Input Data is 966, 600, 39, 571
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 966 is 2 x 3 x 7 x 23
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 39 is 3 x 13
Prime Factorization of 571 is 571
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(966, 600) = 96600
GCD(966, 600) = ( 966 x 600 ) / 96600
GCD(966, 600) = 579600 / 96600
GCD(966, 600) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 39
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 39) = 78
GCD(6, 39) = ( 6 x 39 ) / 78
GCD(6, 39) = 234 / 78
GCD(6, 39) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 571
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 571) = 1713
GCD(3, 571) = ( 3 x 571 ) / 1713
GCD(3, 571) = 1713 / 1713
GCD(3, 571) = 1
GCD of 966, 600, 39, 571 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 966, 600, 39, 571?
GCD of 966, 600, 39, 571 is 1
2. Where do I get the detailed procedure to find GCD of 966, 600, 39, 571?
You can find a detailed procedure to find GCD of 966, 600, 39, 571 on our page.
3. How to find GCD of 966, 600, 39, 571 on a calculator?
You can find the GCD of 966, 600, 39, 571 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.