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 414, 589, 74, 843 i.e. 1 largest integer that divides all the numbers equally.
GCD of 414, 589, 74, 843 is 1
GCD(414, 589, 74, 843) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 414, 589, 74, 843 is 1
GCD(414, 589, 74, 843) = 1
Given Input numbers are 414, 589, 74, 843
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 414
List of positive integer divisors of 414 that divides 414 without a remainder.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Divisors of 589
List of positive integer divisors of 589 that divides 589 without a remainder.
1, 19, 31, 589
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 843
List of positive integer divisors of 843 that divides 843 without a remainder.
1, 3, 281, 843
Greatest Common Divisior
We found the divisors of 414, 589, 74, 843 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 589, 74, 843 is 1.
Therefore, GCD of numbers 414, 589, 74, 843 is 1
Given Input Data is 414, 589, 74, 843
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 414 is 2 x 3 x 3 x 23
Prime Factorization of 589 is 19 x 31
Prime Factorization of 74 is 2 x 37
Prime Factorization of 843 is 3 x 281
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(414, 589) = 243846
GCD(414, 589) = ( 414 x 589 ) / 243846
GCD(414, 589) = 243846 / 243846
GCD(414, 589) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 74
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 74) = 74
GCD(1, 74) = ( 1 x 74 ) / 74
GCD(1, 74) = 74 / 74
GCD(1, 74) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 843
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 843) = 843
GCD(1, 843) = ( 1 x 843 ) / 843
GCD(1, 843) = 843 / 843
GCD(1, 843) = 1
GCD of 414, 589, 74, 843 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 414, 589, 74, 843?
GCD of 414, 589, 74, 843 is 1
2. Where do I get the detailed procedure to find GCD of 414, 589, 74, 843?
You can find a detailed procedure to find GCD of 414, 589, 74, 843 on our page.
3. How to find GCD of 414, 589, 74, 843 on a calculator?
You can find the GCD of 414, 589, 74, 843 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.