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 61, 809, 234, 423 i.e. 1 largest integer that divides all the numbers equally.
GCD of 61, 809, 234, 423 is 1
GCD(61, 809, 234, 423) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 61, 809, 234, 423 is 1
GCD(61, 809, 234, 423) = 1
Given Input numbers are 61, 809, 234, 423
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 809
List of positive integer divisors of 809 that divides 809 without a remainder.
1, 809
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
Divisors of 423
List of positive integer divisors of 423 that divides 423 without a remainder.
1, 3, 9, 47, 141, 423
Greatest Common Divisior
We found the divisors of 61, 809, 234, 423 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 809, 234, 423 is 1.
Therefore, GCD of numbers 61, 809, 234, 423 is 1
Given Input Data is 61, 809, 234, 423
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 61 is 61
Prime Factorization of 809 is 809
Prime Factorization of 234 is 2 x 3 x 3 x 13
Prime Factorization of 423 is 3 x 3 x 47
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(61, 809) = 49349
GCD(61, 809) = ( 61 x 809 ) / 49349
GCD(61, 809) = 49349 / 49349
GCD(61, 809) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 423
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 423) = 423
GCD(1, 423) = ( 1 x 423 ) / 423
GCD(1, 423) = 423 / 423
GCD(1, 423) = 1
GCD of 61, 809, 234, 423 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 61, 809, 234, 423?
GCD of 61, 809, 234, 423 is 1
2. Where do I get the detailed procedure to find GCD of 61, 809, 234, 423?
You can find a detailed procedure to find GCD of 61, 809, 234, 423 on our page.
3. How to find GCD of 61, 809, 234, 423 on a calculator?
You can find the GCD of 61, 809, 234, 423 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.