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 460, 382, 19, 408 i.e. 1 largest integer that divides all the numbers equally.
GCD of 460, 382, 19, 408 is 1
GCD(460, 382, 19, 408) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 460, 382, 19, 408 is 1
GCD(460, 382, 19, 408) = 1
Given Input numbers are 460, 382, 19, 408
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 460
List of positive integer divisors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Divisors of 19
List of positive integer divisors of 19 that divides 19 without a remainder.
1, 19
Divisors of 408
List of positive integer divisors of 408 that divides 408 without a remainder.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Greatest Common Divisior
We found the divisors of 460, 382, 19, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 382, 19, 408 is 1.
Therefore, GCD of numbers 460, 382, 19, 408 is 1
Given Input Data is 460, 382, 19, 408
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 460 is 2 x 2 x 5 x 23
Prime Factorization of 382 is 2 x 191
Prime Factorization of 19 is 19
Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17
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(460, 382) = 87860
GCD(460, 382) = ( 460 x 382 ) / 87860
GCD(460, 382) = 175720 / 87860
GCD(460, 382) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 19
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 19) = 38
GCD(2, 19) = ( 2 x 19 ) / 38
GCD(2, 19) = 38 / 38
GCD(2, 19) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 408
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 408) = 408
GCD(1, 408) = ( 1 x 408 ) / 408
GCD(1, 408) = 408 / 408
GCD(1, 408) = 1
GCD of 460, 382, 19, 408 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 460, 382, 19, 408?
GCD of 460, 382, 19, 408 is 1
2. Where do I get the detailed procedure to find GCD of 460, 382, 19, 408?
You can find a detailed procedure to find GCD of 460, 382, 19, 408 on our page.
3. How to find GCD of 460, 382, 19, 408 on a calculator?
You can find the GCD of 460, 382, 19, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.