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 13, 706, 466, 981 i.e. 1 largest integer that divides all the numbers equally.
GCD of 13, 706, 466, 981 is 1
GCD(13, 706, 466, 981) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 13, 706, 466, 981 is 1
GCD(13, 706, 466, 981) = 1
Given Input numbers are 13, 706, 466, 981
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 706
List of positive integer divisors of 706 that divides 706 without a remainder.
1, 2, 353, 706
Divisors of 466
List of positive integer divisors of 466 that divides 466 without a remainder.
1, 2, 233, 466
Divisors of 981
List of positive integer divisors of 981 that divides 981 without a remainder.
1, 3, 9, 109, 327, 981
Greatest Common Divisior
We found the divisors of 13, 706, 466, 981 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 706, 466, 981 is 1.
Therefore, GCD of numbers 13, 706, 466, 981 is 1
Given Input Data is 13, 706, 466, 981
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 13 is 13
Prime Factorization of 706 is 2 x 353
Prime Factorization of 466 is 2 x 233
Prime Factorization of 981 is 3 x 3 x 109
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(13, 706) = 9178
GCD(13, 706) = ( 13 x 706 ) / 9178
GCD(13, 706) = 9178 / 9178
GCD(13, 706) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 466
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 466) = 466
GCD(1, 466) = ( 1 x 466 ) / 466
GCD(1, 466) = 466 / 466
GCD(1, 466) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 981
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 981) = 981
GCD(1, 981) = ( 1 x 981 ) / 981
GCD(1, 981) = 981 / 981
GCD(1, 981) = 1
GCD of 13, 706, 466, 981 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 13, 706, 466, 981?
GCD of 13, 706, 466, 981 is 1
2. Where do I get the detailed procedure to find GCD of 13, 706, 466, 981?
You can find a detailed procedure to find GCD of 13, 706, 466, 981 on our page.
3. How to find GCD of 13, 706, 466, 981 on a calculator?
You can find the GCD of 13, 706, 466, 981 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.