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 81, 971, 392, 234 i.e. 1 largest integer that divides all the numbers equally.
GCD of 81, 971, 392, 234 is 1
GCD(81, 971, 392, 234) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 81, 971, 392, 234 is 1
GCD(81, 971, 392, 234) = 1
Given Input numbers are 81, 971, 392, 234
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 971
List of positive integer divisors of 971 that divides 971 without a remainder.
1, 971
Divisors of 392
List of positive integer divisors of 392 that divides 392 without a remainder.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Divisors of 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Greatest Common Divisior
We found the divisors of 81, 971, 392, 234 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 81, 971, 392, 234 is 1.
Therefore, GCD of numbers 81, 971, 392, 234 is 1
Given Input Data is 81, 971, 392, 234
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 971 is 971
Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7
Prime Factorization of 234 is 2 x 3 x 3 x 13
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(81, 971) = 78651
GCD(81, 971) = ( 81 x 971 ) / 78651
GCD(81, 971) = 78651 / 78651
GCD(81, 971) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 392
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 392) = 392
GCD(1, 392) = ( 1 x 392 ) / 392
GCD(1, 392) = 392 / 392
GCD(1, 392) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 234
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 234) = 234
GCD(1, 234) = ( 1 x 234 ) / 234
GCD(1, 234) = 234 / 234
GCD(1, 234) = 1
GCD of 81, 971, 392, 234 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 81, 971, 392, 234?
GCD of 81, 971, 392, 234 is 1
2. Where do I get the detailed procedure to find GCD of 81, 971, 392, 234?
You can find a detailed procedure to find GCD of 81, 971, 392, 234 on our page.
3. How to find GCD of 81, 971, 392, 234 on a calculator?
You can find the GCD of 81, 971, 392, 234 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.