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 345, 111, 69, 189 i.e. 3 largest integer that divides all the numbers equally.
GCD of 345, 111, 69, 189 is 3
GCD(345, 111, 69, 189) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 345, 111, 69, 189 is 3
GCD(345, 111, 69, 189) = 3
Given Input numbers are 345, 111, 69, 189
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 111
List of positive integer divisors of 111 that divides 111 without a remainder.
1, 3, 37, 111
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
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 345, 111, 69, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 111, 69, 189 is 3.
Therefore, GCD of numbers 345, 111, 69, 189 is 3
Given Input Data is 345, 111, 69, 189
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 345 is 3 x 5 x 23
Prime Factorization of 111 is 3 x 37
Prime Factorization of 69 is 3 x 23
Prime Factorization of 189 is 3 x 3 x 3 x 7
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(345, 111) = 12765
GCD(345, 111) = ( 345 x 111 ) / 12765
GCD(345, 111) = 38295 / 12765
GCD(345, 111) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 69) = 69
GCD(3, 69) = ( 3 x 69 ) / 69
GCD(3, 69) = 207 / 69
GCD(3, 69) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 189
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 189) = 189
GCD(3, 189) = ( 3 x 189 ) / 189
GCD(3, 189) = 567 / 189
GCD(3, 189) = 3
GCD of 345, 111, 69, 189 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 345, 111, 69, 189?
GCD of 345, 111, 69, 189 is 3
2. Where do I get the detailed procedure to find GCD of 345, 111, 69, 189?
You can find a detailed procedure to find GCD of 345, 111, 69, 189 on our page.
3. How to find GCD of 345, 111, 69, 189 on a calculator?
You can find the GCD of 345, 111, 69, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.