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 841, 909, 923, 149 i.e. 1 largest integer that divides all the numbers equally.
GCD of 841, 909, 923, 149 is 1
GCD(841, 909, 923, 149) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 841, 909, 923, 149 is 1
GCD(841, 909, 923, 149) = 1
Given Input numbers are 841, 909, 923, 149
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 841
List of positive integer divisors of 841 that divides 841 without a remainder.
1, 29, 841
Divisors of 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Divisors of 923
List of positive integer divisors of 923 that divides 923 without a remainder.
1, 13, 71, 923
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Greatest Common Divisior
We found the divisors of 841, 909, 923, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 841, 909, 923, 149 is 1.
Therefore, GCD of numbers 841, 909, 923, 149 is 1
Given Input Data is 841, 909, 923, 149
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 841 is 29 x 29
Prime Factorization of 909 is 3 x 3 x 101
Prime Factorization of 923 is 13 x 71
Prime Factorization of 149 is 149
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(841, 909) = 764469
GCD(841, 909) = ( 841 x 909 ) / 764469
GCD(841, 909) = 764469 / 764469
GCD(841, 909) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 923
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 923) = 923
GCD(1, 923) = ( 1 x 923 ) / 923
GCD(1, 923) = 923 / 923
GCD(1, 923) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 149
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 149) = 149
GCD(1, 149) = ( 1 x 149 ) / 149
GCD(1, 149) = 149 / 149
GCD(1, 149) = 1
GCD of 841, 909, 923, 149 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 841, 909, 923, 149?
GCD of 841, 909, 923, 149 is 1
2. Where do I get the detailed procedure to find GCD of 841, 909, 923, 149?
You can find a detailed procedure to find GCD of 841, 909, 923, 149 on our page.
3. How to find GCD of 841, 909, 923, 149 on a calculator?
You can find the GCD of 841, 909, 923, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.