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 971, 585, 933, 905 i.e. 1 largest integer that divides all the numbers equally.
GCD of 971, 585, 933, 905 is 1
GCD(971, 585, 933, 905) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 971, 585, 933, 905 is 1
GCD(971, 585, 933, 905) = 1
Given Input numbers are 971, 585, 933, 905
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 971
List of positive integer divisors of 971 that divides 971 without a remainder.
1, 971
Divisors of 585
List of positive integer divisors of 585 that divides 585 without a remainder.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
Divisors of 933
List of positive integer divisors of 933 that divides 933 without a remainder.
1, 3, 311, 933
Divisors of 905
List of positive integer divisors of 905 that divides 905 without a remainder.
1, 5, 181, 905
Greatest Common Divisior
We found the divisors of 971, 585, 933, 905 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 585, 933, 905 is 1.
Therefore, GCD of numbers 971, 585, 933, 905 is 1
Given Input Data is 971, 585, 933, 905
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 971 is 971
Prime Factorization of 585 is 3 x 3 x 5 x 13
Prime Factorization of 933 is 3 x 311
Prime Factorization of 905 is 5 x 181
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(971, 585) = 568035
GCD(971, 585) = ( 971 x 585 ) / 568035
GCD(971, 585) = 568035 / 568035
GCD(971, 585) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 933
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 933) = 933
GCD(1, 933) = ( 1 x 933 ) / 933
GCD(1, 933) = 933 / 933
GCD(1, 933) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 905
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 905) = 905
GCD(1, 905) = ( 1 x 905 ) / 905
GCD(1, 905) = 905 / 905
GCD(1, 905) = 1
GCD of 971, 585, 933, 905 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 971, 585, 933, 905?
GCD of 971, 585, 933, 905 is 1
2. Where do I get the detailed procedure to find GCD of 971, 585, 933, 905?
You can find a detailed procedure to find GCD of 971, 585, 933, 905 on our page.
3. How to find GCD of 971, 585, 933, 905 on a calculator?
You can find the GCD of 971, 585, 933, 905 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.