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 401, 369, 72, 971 i.e. 1 largest integer that divides all the numbers equally.
GCD of 401, 369, 72, 971 is 1
GCD(401, 369, 72, 971) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 401, 369, 72, 971 is 1
GCD(401, 369, 72, 971) = 1
Given Input numbers are 401, 369, 72, 971
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 401
List of positive integer divisors of 401 that divides 401 without a remainder.
1, 401
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 971
List of positive integer divisors of 971 that divides 971 without a remainder.
1, 971
Greatest Common Divisior
We found the divisors of 401, 369, 72, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 401, 369, 72, 971 is 1.
Therefore, GCD of numbers 401, 369, 72, 971 is 1
Given Input Data is 401, 369, 72, 971
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 401 is 401
Prime Factorization of 369 is 3 x 3 x 41
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 971 is 971
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(401, 369) = 147969
GCD(401, 369) = ( 401 x 369 ) / 147969
GCD(401, 369) = 147969 / 147969
GCD(401, 369) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
GCD(1, 72) = 72 / 72
GCD(1, 72) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 971
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 971) = 971
GCD(1, 971) = ( 1 x 971 ) / 971
GCD(1, 971) = 971 / 971
GCD(1, 971) = 1
GCD of 401, 369, 72, 971 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 401, 369, 72, 971?
GCD of 401, 369, 72, 971 is 1
2. Where do I get the detailed procedure to find GCD of 401, 369, 72, 971?
You can find a detailed procedure to find GCD of 401, 369, 72, 971 on our page.
3. How to find GCD of 401, 369, 72, 971 on a calculator?
You can find the GCD of 401, 369, 72, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.