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 396, 601, 474, 146 i.e. 1 largest integer that divides all the numbers equally.
GCD of 396, 601, 474, 146 is 1
GCD(396, 601, 474, 146) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 396, 601, 474, 146 is 1
GCD(396, 601, 474, 146) = 1
Given Input numbers are 396, 601, 474, 146
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 601
List of positive integer divisors of 601 that divides 601 without a remainder.
1, 601
Divisors of 474
List of positive integer divisors of 474 that divides 474 without a remainder.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Greatest Common Divisior
We found the divisors of 396, 601, 474, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 601, 474, 146 is 1.
Therefore, GCD of numbers 396, 601, 474, 146 is 1
Given Input Data is 396, 601, 474, 146
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 601 is 601
Prime Factorization of 474 is 2 x 3 x 79
Prime Factorization of 146 is 2 x 73
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(396, 601) = 237996
GCD(396, 601) = ( 396 x 601 ) / 237996
GCD(396, 601) = 237996 / 237996
GCD(396, 601) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 474
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 474) = 474
GCD(1, 474) = ( 1 x 474 ) / 474
GCD(1, 474) = 474 / 474
GCD(1, 474) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 146
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 146) = 146
GCD(1, 146) = ( 1 x 146 ) / 146
GCD(1, 146) = 146 / 146
GCD(1, 146) = 1
GCD of 396, 601, 474, 146 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 396, 601, 474, 146?
GCD of 396, 601, 474, 146 is 1
2. Where do I get the detailed procedure to find GCD of 396, 601, 474, 146?
You can find a detailed procedure to find GCD of 396, 601, 474, 146 on our page.
3. How to find GCD of 396, 601, 474, 146 on a calculator?
You can find the GCD of 396, 601, 474, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.