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 131, 969, 216, 573 i.e. 1 largest integer that divides all the numbers equally.
GCD of 131, 969, 216, 573 is 1
GCD(131, 969, 216, 573) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 131, 969, 216, 573 is 1
GCD(131, 969, 216, 573) = 1
Given Input numbers are 131, 969, 216, 573
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 216
List of positive integer divisors of 216 that divides 216 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 573
List of positive integer divisors of 573 that divides 573 without a remainder.
1, 3, 191, 573
Greatest Common Divisior
We found the divisors of 131, 969, 216, 573 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 131, 969, 216, 573 is 1.
Therefore, GCD of numbers 131, 969, 216, 573 is 1
Given Input Data is 131, 969, 216, 573
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 131 is 131
Prime Factorization of 969 is 3 x 17 x 19
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 573 is 3 x 191
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(131, 969) = 126939
GCD(131, 969) = ( 131 x 969 ) / 126939
GCD(131, 969) = 126939 / 126939
GCD(131, 969) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 216
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 216) = 216
GCD(1, 216) = ( 1 x 216 ) / 216
GCD(1, 216) = 216 / 216
GCD(1, 216) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 573
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 573) = 573
GCD(1, 573) = ( 1 x 573 ) / 573
GCD(1, 573) = 573 / 573
GCD(1, 573) = 1
GCD of 131, 969, 216, 573 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 131, 969, 216, 573?
GCD of 131, 969, 216, 573 is 1
2. Where do I get the detailed procedure to find GCD of 131, 969, 216, 573?
You can find a detailed procedure to find GCD of 131, 969, 216, 573 on our page.
3. How to find GCD of 131, 969, 216, 573 on a calculator?
You can find the GCD of 131, 969, 216, 573 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.