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 354, 587, 405, 844 i.e. 1 largest integer that divides all the numbers equally.
GCD of 354, 587, 405, 844 is 1
GCD(354, 587, 405, 844) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 354, 587, 405, 844 is 1
GCD(354, 587, 405, 844) = 1
Given Input numbers are 354, 587, 405, 844
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 354
List of positive integer divisors of 354 that divides 354 without a remainder.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 587
List of positive integer divisors of 587 that divides 587 without a remainder.
1, 587
Divisors of 405
List of positive integer divisors of 405 that divides 405 without a remainder.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Divisors of 844
List of positive integer divisors of 844 that divides 844 without a remainder.
1, 2, 4, 211, 422, 844
Greatest Common Divisior
We found the divisors of 354, 587, 405, 844 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 587, 405, 844 is 1.
Therefore, GCD of numbers 354, 587, 405, 844 is 1
Given Input Data is 354, 587, 405, 844
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 354 is 2 x 3 x 59
Prime Factorization of 587 is 587
Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5
Prime Factorization of 844 is 2 x 2 x 211
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(354, 587) = 207798
GCD(354, 587) = ( 354 x 587 ) / 207798
GCD(354, 587) = 207798 / 207798
GCD(354, 587) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 405
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 405) = 405
GCD(1, 405) = ( 1 x 405 ) / 405
GCD(1, 405) = 405 / 405
GCD(1, 405) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 844
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 844) = 844
GCD(1, 844) = ( 1 x 844 ) / 844
GCD(1, 844) = 844 / 844
GCD(1, 844) = 1
GCD of 354, 587, 405, 844 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 354, 587, 405, 844?
GCD of 354, 587, 405, 844 is 1
2. Where do I get the detailed procedure to find GCD of 354, 587, 405, 844?
You can find a detailed procedure to find GCD of 354, 587, 405, 844 on our page.
3. How to find GCD of 354, 587, 405, 844 on a calculator?
You can find the GCD of 354, 587, 405, 844 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.