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 382, 149, 948, 405 i.e. 1 largest integer that divides all the numbers equally.
GCD of 382, 149, 948, 405 is 1
GCD(382, 149, 948, 405) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 382, 149, 948, 405 is 1
GCD(382, 149, 948, 405) = 1
Given Input numbers are 382, 149, 948, 405
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Divisors of 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
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
Greatest Common Divisior
We found the divisors of 382, 149, 948, 405 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 149, 948, 405 is 1.
Therefore, GCD of numbers 382, 149, 948, 405 is 1
Given Input Data is 382, 149, 948, 405
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 382 is 2 x 191
Prime Factorization of 149 is 149
Prime Factorization of 948 is 2 x 2 x 3 x 79
Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5
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(382, 149) = 56918
GCD(382, 149) = ( 382 x 149 ) / 56918
GCD(382, 149) = 56918 / 56918
GCD(382, 149) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 948
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 948) = 948
GCD(1, 948) = ( 1 x 948 ) / 948
GCD(1, 948) = 948 / 948
GCD(1, 948) = 1
Step3:
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
GCD of 382, 149, 948, 405 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 382, 149, 948, 405?
GCD of 382, 149, 948, 405 is 1
2. Where do I get the detailed procedure to find GCD of 382, 149, 948, 405?
You can find a detailed procedure to find GCD of 382, 149, 948, 405 on our page.
3. How to find GCD of 382, 149, 948, 405 on a calculator?
You can find the GCD of 382, 149, 948, 405 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.