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 974, 389, 33, 401 i.e. 1 largest integer that divides all the numbers equally.
GCD of 974, 389, 33, 401 is 1
GCD(974, 389, 33, 401) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 974, 389, 33, 401 is 1
GCD(974, 389, 33, 401) = 1
Given Input numbers are 974, 389, 33, 401
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 974
List of positive integer divisors of 974 that divides 974 without a remainder.
1, 2, 487, 974
Divisors of 389
List of positive integer divisors of 389 that divides 389 without a remainder.
1, 389
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Divisors of 401
List of positive integer divisors of 401 that divides 401 without a remainder.
1, 401
Greatest Common Divisior
We found the divisors of 974, 389, 33, 401 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 389, 33, 401 is 1.
Therefore, GCD of numbers 974, 389, 33, 401 is 1
Given Input Data is 974, 389, 33, 401
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 974 is 2 x 487
Prime Factorization of 389 is 389
Prime Factorization of 33 is 3 x 11
Prime Factorization of 401 is 401
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(974, 389) = 378886
GCD(974, 389) = ( 974 x 389 ) / 378886
GCD(974, 389) = 378886 / 378886
GCD(974, 389) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 33
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 33) = 33
GCD(1, 33) = ( 1 x 33 ) / 33
GCD(1, 33) = 33 / 33
GCD(1, 33) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 401
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 401) = 401
GCD(1, 401) = ( 1 x 401 ) / 401
GCD(1, 401) = 401 / 401
GCD(1, 401) = 1
GCD of 974, 389, 33, 401 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 974, 389, 33, 401?
GCD of 974, 389, 33, 401 is 1
2. Where do I get the detailed procedure to find GCD of 974, 389, 33, 401?
You can find a detailed procedure to find GCD of 974, 389, 33, 401 on our page.
3. How to find GCD of 974, 389, 33, 401 on a calculator?
You can find the GCD of 974, 389, 33, 401 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.