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 364, 414, 17, 433 i.e. 1 largest integer that divides all the numbers equally.
GCD of 364, 414, 17, 433 is 1
GCD(364, 414, 17, 433) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 364, 414, 17, 433 is 1
GCD(364, 414, 17, 433) = 1
Given Input numbers are 364, 414, 17, 433
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 364
List of positive integer divisors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
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 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 433
List of positive integer divisors of 433 that divides 433 without a remainder.
1, 433
Greatest Common Divisior
We found the divisors of 364, 414, 17, 433 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 414, 17, 433 is 1.
Therefore, GCD of numbers 364, 414, 17, 433 is 1
Given Input Data is 364, 414, 17, 433
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 364 is 2 x 2 x 7 x 13
Prime Factorization of 414 is 2 x 3 x 3 x 23
Prime Factorization of 17 is 17
Prime Factorization of 433 is 433
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(364, 414) = 75348
GCD(364, 414) = ( 364 x 414 ) / 75348
GCD(364, 414) = 150696 / 75348
GCD(364, 414) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 17) = 34
GCD(2, 17) = ( 2 x 17 ) / 34
GCD(2, 17) = 34 / 34
GCD(2, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 433
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 433) = 433
GCD(1, 433) = ( 1 x 433 ) / 433
GCD(1, 433) = 433 / 433
GCD(1, 433) = 1
GCD of 364, 414, 17, 433 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 364, 414, 17, 433?
GCD of 364, 414, 17, 433 is 1
2. Where do I get the detailed procedure to find GCD of 364, 414, 17, 433?
You can find a detailed procedure to find GCD of 364, 414, 17, 433 on our page.
3. How to find GCD of 364, 414, 17, 433 on a calculator?
You can find the GCD of 364, 414, 17, 433 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.