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 696, 971, 27, 996 i.e. 1 largest integer that divides all the numbers equally.
GCD of 696, 971, 27, 996 is 1
GCD(696, 971, 27, 996) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 696, 971, 27, 996 is 1
GCD(696, 971, 27, 996) = 1
Given Input numbers are 696, 971, 27, 996
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 971
List of positive integer divisors of 971 that divides 971 without a remainder.
1, 971
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 996
List of positive integer divisors of 996 that divides 996 without a remainder.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Greatest Common Divisior
We found the divisors of 696, 971, 27, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 971, 27, 996 is 1.
Therefore, GCD of numbers 696, 971, 27, 996 is 1
Given Input Data is 696, 971, 27, 996
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
Prime Factorization of 971 is 971
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 996 is 2 x 2 x 3 x 83
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(696, 971) = 675816
GCD(696, 971) = ( 696 x 971 ) / 675816
GCD(696, 971) = 675816 / 675816
GCD(696, 971) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 27) = 27
GCD(1, 27) = ( 1 x 27 ) / 27
GCD(1, 27) = 27 / 27
GCD(1, 27) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 996
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 996) = 996
GCD(1, 996) = ( 1 x 996 ) / 996
GCD(1, 996) = 996 / 996
GCD(1, 996) = 1
GCD of 696, 971, 27, 996 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 696, 971, 27, 996?
GCD of 696, 971, 27, 996 is 1
2. Where do I get the detailed procedure to find GCD of 696, 971, 27, 996?
You can find a detailed procedure to find GCD of 696, 971, 27, 996 on our page.
3. How to find GCD of 696, 971, 27, 996 on a calculator?
You can find the GCD of 696, 971, 27, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.