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 21, 929, 237, 131 i.e. 1 largest integer that divides all the numbers equally.
GCD of 21, 929, 237, 131 is 1
GCD(21, 929, 237, 131) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 21, 929, 237, 131 is 1
GCD(21, 929, 237, 131) = 1
Given Input numbers are 21, 929, 237, 131
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 929
List of positive integer divisors of 929 that divides 929 without a remainder.
1, 929
Divisors of 237
List of positive integer divisors of 237 that divides 237 without a remainder.
1, 3, 79, 237
Divisors of 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
Greatest Common Divisior
We found the divisors of 21, 929, 237, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 929, 237, 131 is 1.
Therefore, GCD of numbers 21, 929, 237, 131 is 1
Given Input Data is 21, 929, 237, 131
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 21 is 3 x 7
Prime Factorization of 929 is 929
Prime Factorization of 237 is 3 x 79
Prime Factorization of 131 is 131
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(21, 929) = 19509
GCD(21, 929) = ( 21 x 929 ) / 19509
GCD(21, 929) = 19509 / 19509
GCD(21, 929) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 237
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 237) = 237
GCD(1, 237) = ( 1 x 237 ) / 237
GCD(1, 237) = 237 / 237
GCD(1, 237) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 131
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 131) = 131
GCD(1, 131) = ( 1 x 131 ) / 131
GCD(1, 131) = 131 / 131
GCD(1, 131) = 1
GCD of 21, 929, 237, 131 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 21, 929, 237, 131?
GCD of 21, 929, 237, 131 is 1
2. Where do I get the detailed procedure to find GCD of 21, 929, 237, 131?
You can find a detailed procedure to find GCD of 21, 929, 237, 131 on our page.
3. How to find GCD of 21, 929, 237, 131 on a calculator?
You can find the GCD of 21, 929, 237, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.