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 356, 463, 440, 409 i.e. 1 largest integer that divides all the numbers equally.
GCD of 356, 463, 440, 409 is 1
GCD(356, 463, 440, 409) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 356, 463, 440, 409 is 1
GCD(356, 463, 440, 409) = 1
Given Input numbers are 356, 463, 440, 409
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 356
List of positive integer divisors of 356 that divides 356 without a remainder.
1, 2, 4, 89, 178, 356
Divisors of 463
List of positive integer divisors of 463 that divides 463 without a remainder.
1, 463
Divisors of 440
List of positive integer divisors of 440 that divides 440 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 409
List of positive integer divisors of 409 that divides 409 without a remainder.
1, 409
Greatest Common Divisior
We found the divisors of 356, 463, 440, 409 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 463, 440, 409 is 1.
Therefore, GCD of numbers 356, 463, 440, 409 is 1
Given Input Data is 356, 463, 440, 409
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 356 is 2 x 2 x 89
Prime Factorization of 463 is 463
Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11
Prime Factorization of 409 is 409
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(356, 463) = 164828
GCD(356, 463) = ( 356 x 463 ) / 164828
GCD(356, 463) = 164828 / 164828
GCD(356, 463) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 440
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 440) = 440
GCD(1, 440) = ( 1 x 440 ) / 440
GCD(1, 440) = 440 / 440
GCD(1, 440) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 409
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 409) = 409
GCD(1, 409) = ( 1 x 409 ) / 409
GCD(1, 409) = 409 / 409
GCD(1, 409) = 1
GCD of 356, 463, 440, 409 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 356, 463, 440, 409?
GCD of 356, 463, 440, 409 is 1
2. Where do I get the detailed procedure to find GCD of 356, 463, 440, 409?
You can find a detailed procedure to find GCD of 356, 463, 440, 409 on our page.
3. How to find GCD of 356, 463, 440, 409 on a calculator?
You can find the GCD of 356, 463, 440, 409 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.