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 346, 789, 409, 690 i.e. 1 largest integer that divides all the numbers equally.
GCD of 346, 789, 409, 690 is 1
GCD(346, 789, 409, 690) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 346, 789, 409, 690 is 1
GCD(346, 789, 409, 690) = 1
Given Input numbers are 346, 789, 409, 690
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Divisors of 409
List of positive integer divisors of 409 that divides 409 without a remainder.
1, 409
Divisors of 690
List of positive integer divisors of 690 that divides 690 without a remainder.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Greatest Common Divisior
We found the divisors of 346, 789, 409, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 346, 789, 409, 690 is 1.
Therefore, GCD of numbers 346, 789, 409, 690 is 1
Given Input Data is 346, 789, 409, 690
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 346 is 2 x 173
Prime Factorization of 789 is 3 x 263
Prime Factorization of 409 is 409
Prime Factorization of 690 is 2 x 3 x 5 x 23
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(346, 789) = 272994
GCD(346, 789) = ( 346 x 789 ) / 272994
GCD(346, 789) = 272994 / 272994
GCD(346, 789) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 409
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 409) = 409
GCD(1, 409) = ( 1 x 409 ) / 409
GCD(1, 409) = 409 / 409
GCD(1, 409) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 690
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 690) = 690
GCD(1, 690) = ( 1 x 690 ) / 690
GCD(1, 690) = 690 / 690
GCD(1, 690) = 1
GCD of 346, 789, 409, 690 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 346, 789, 409, 690?
GCD of 346, 789, 409, 690 is 1
2. Where do I get the detailed procedure to find GCD of 346, 789, 409, 690?
You can find a detailed procedure to find GCD of 346, 789, 409, 690 on our page.
3. How to find GCD of 346, 789, 409, 690 on a calculator?
You can find the GCD of 346, 789, 409, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.