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 18, 437, 837, 414 i.e. 1 largest integer that divides all the numbers equally.
GCD of 18, 437, 837, 414 is 1
GCD(18, 437, 837, 414) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 18, 437, 837, 414 is 1
GCD(18, 437, 837, 414) = 1
Given Input numbers are 18, 437, 837, 414
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 437
List of positive integer divisors of 437 that divides 437 without a remainder.
1, 19, 23, 437
Divisors of 837
List of positive integer divisors of 837 that divides 837 without a remainder.
1, 3, 9, 27, 31, 93, 279, 837
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
Greatest Common Divisior
We found the divisors of 18, 437, 837, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 437, 837, 414 is 1.
Therefore, GCD of numbers 18, 437, 837, 414 is 1
Given Input Data is 18, 437, 837, 414
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 437 is 19 x 23
Prime Factorization of 837 is 3 x 3 x 3 x 31
Prime Factorization of 414 is 2 x 3 x 3 x 23
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(18, 437) = 7866
GCD(18, 437) = ( 18 x 437 ) / 7866
GCD(18, 437) = 7866 / 7866
GCD(18, 437) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 837
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 837) = 837
GCD(1, 837) = ( 1 x 837 ) / 837
GCD(1, 837) = 837 / 837
GCD(1, 837) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 414
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 414) = 414
GCD(1, 414) = ( 1 x 414 ) / 414
GCD(1, 414) = 414 / 414
GCD(1, 414) = 1
GCD of 18, 437, 837, 414 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 18, 437, 837, 414?
GCD of 18, 437, 837, 414 is 1
2. Where do I get the detailed procedure to find GCD of 18, 437, 837, 414?
You can find a detailed procedure to find GCD of 18, 437, 837, 414 on our page.
3. How to find GCD of 18, 437, 837, 414 on a calculator?
You can find the GCD of 18, 437, 837, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.