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 331, 909, 207, 946 i.e. 1 largest integer that divides all the numbers equally.
GCD of 331, 909, 207, 946 is 1
GCD(331, 909, 207, 946) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 331, 909, 207, 946 is 1
GCD(331, 909, 207, 946) = 1
Given Input numbers are 331, 909, 207, 946
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 331
List of positive integer divisors of 331 that divides 331 without a remainder.
1, 331
Divisors of 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Divisors of 207
List of positive integer divisors of 207 that divides 207 without a remainder.
1, 3, 9, 23, 69, 207
Divisors of 946
List of positive integer divisors of 946 that divides 946 without a remainder.
1, 2, 11, 22, 43, 86, 473, 946
Greatest Common Divisior
We found the divisors of 331, 909, 207, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 331, 909, 207, 946 is 1.
Therefore, GCD of numbers 331, 909, 207, 946 is 1
Given Input Data is 331, 909, 207, 946
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 331 is 331
Prime Factorization of 909 is 3 x 3 x 101
Prime Factorization of 207 is 3 x 3 x 23
Prime Factorization of 946 is 2 x 11 x 43
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(331, 909) = 300879
GCD(331, 909) = ( 331 x 909 ) / 300879
GCD(331, 909) = 300879 / 300879
GCD(331, 909) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 207
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 207) = 207
GCD(1, 207) = ( 1 x 207 ) / 207
GCD(1, 207) = 207 / 207
GCD(1, 207) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 946
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 946) = 946
GCD(1, 946) = ( 1 x 946 ) / 946
GCD(1, 946) = 946 / 946
GCD(1, 946) = 1
GCD of 331, 909, 207, 946 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 331, 909, 207, 946?
GCD of 331, 909, 207, 946 is 1
2. Where do I get the detailed procedure to find GCD of 331, 909, 207, 946?
You can find a detailed procedure to find GCD of 331, 909, 207, 946 on our page.
3. How to find GCD of 331, 909, 207, 946 on a calculator?
You can find the GCD of 331, 909, 207, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.