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 909, 497, 122, 401 i.e. 1 largest integer that divides all the numbers equally.
GCD of 909, 497, 122, 401 is 1
GCD(909, 497, 122, 401) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 909, 497, 122, 401 is 1
GCD(909, 497, 122, 401) = 1
Given Input numbers are 909, 497, 122, 401
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Divisors of 497
List of positive integer divisors of 497 that divides 497 without a remainder.
1, 7, 71, 497
Divisors of 122
List of positive integer divisors of 122 that divides 122 without a remainder.
1, 2, 61, 122
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 909, 497, 122, 401 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 497, 122, 401 is 1.
Therefore, GCD of numbers 909, 497, 122, 401 is 1
Given Input Data is 909, 497, 122, 401
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 909 is 3 x 3 x 101
Prime Factorization of 497 is 7 x 71
Prime Factorization of 122 is 2 x 61
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(909, 497) = 451773
GCD(909, 497) = ( 909 x 497 ) / 451773
GCD(909, 497) = 451773 / 451773
GCD(909, 497) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 122
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 122) = 122
GCD(1, 122) = ( 1 x 122 ) / 122
GCD(1, 122) = 122 / 122
GCD(1, 122) = 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 909, 497, 122, 401 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 909, 497, 122, 401?
GCD of 909, 497, 122, 401 is 1
2. Where do I get the detailed procedure to find GCD of 909, 497, 122, 401?
You can find a detailed procedure to find GCD of 909, 497, 122, 401 on our page.
3. How to find GCD of 909, 497, 122, 401 on a calculator?
You can find the GCD of 909, 497, 122, 401 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.