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 349, 347, 23, 189 i.e. 1 largest integer that divides all the numbers equally.
GCD of 349, 347, 23, 189 is 1
GCD(349, 347, 23, 189) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 349, 347, 23, 189 is 1
GCD(349, 347, 23, 189) = 1
Given Input numbers are 349, 347, 23, 189
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Divisors of 347
List of positive integer divisors of 347 that divides 347 without a remainder.
1, 347
Divisors of 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
Divisors of 189
List of positive integer divisors of 189 that divides 189 without a remainder.
1, 3, 7, 9, 21, 27, 63, 189
Greatest Common Divisior
We found the divisors of 349, 347, 23, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 347, 23, 189 is 1.
Therefore, GCD of numbers 349, 347, 23, 189 is 1
Given Input Data is 349, 347, 23, 189
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 349 is 349
Prime Factorization of 347 is 347
Prime Factorization of 23 is 23
Prime Factorization of 189 is 3 x 3 x 3 x 7
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(349, 347) = 121103
GCD(349, 347) = ( 349 x 347 ) / 121103
GCD(349, 347) = 121103 / 121103
GCD(349, 347) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 23
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 23) = 23
GCD(1, 23) = ( 1 x 23 ) / 23
GCD(1, 23) = 23 / 23
GCD(1, 23) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 189
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 189) = 189
GCD(1, 189) = ( 1 x 189 ) / 189
GCD(1, 189) = 189 / 189
GCD(1, 189) = 1
GCD of 349, 347, 23, 189 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 349, 347, 23, 189?
GCD of 349, 347, 23, 189 is 1
2. Where do I get the detailed procedure to find GCD of 349, 347, 23, 189?
You can find a detailed procedure to find GCD of 349, 347, 23, 189 on our page.
3. How to find GCD of 349, 347, 23, 189 on a calculator?
You can find the GCD of 349, 347, 23, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.