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 41, 123, 346, 969 i.e. 1 largest integer that divides all the numbers equally.
GCD of 41, 123, 346, 969 is 1
GCD(41, 123, 346, 969) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 41, 123, 346, 969 is 1
GCD(41, 123, 346, 969) = 1
Given Input numbers are 41, 123, 346, 969
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 123
List of positive integer divisors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Greatest Common Divisior
We found the divisors of 41, 123, 346, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 41, 123, 346, 969 is 1.
Therefore, GCD of numbers 41, 123, 346, 969 is 1
Given Input Data is 41, 123, 346, 969
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 41 is 41
Prime Factorization of 123 is 3 x 41
Prime Factorization of 346 is 2 x 173
Prime Factorization of 969 is 3 x 17 x 19
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(41, 123) = 123
GCD(41, 123) = ( 41 x 123 ) / 123
GCD(41, 123) = 5043 / 123
GCD(41, 123) = 41
Step2:
Here we consider the GCD from the above i.e. 41 as first number and the next as 346
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(41, 346) = 14186
GCD(41, 346) = ( 41 x 346 ) / 14186
GCD(41, 346) = 14186 / 14186
GCD(41, 346) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 969
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 969) = 969
GCD(1, 969) = ( 1 x 969 ) / 969
GCD(1, 969) = 969 / 969
GCD(1, 969) = 1
GCD of 41, 123, 346, 969 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 41, 123, 346, 969?
GCD of 41, 123, 346, 969 is 1
2. Where do I get the detailed procedure to find GCD of 41, 123, 346, 969?
You can find a detailed procedure to find GCD of 41, 123, 346, 969 on our page.
3. How to find GCD of 41, 123, 346, 969 on a calculator?
You can find the GCD of 41, 123, 346, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.