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, 872, 27, 167 i.e. 1 largest integer that divides all the numbers equally.
GCD of 346, 872, 27, 167 is 1
GCD(346, 872, 27, 167) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 346, 872, 27, 167 is 1
GCD(346, 872, 27, 167) = 1
Given Input numbers are 346, 872, 27, 167
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 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 167
List of positive integer divisors of 167 that divides 167 without a remainder.
1, 167
Greatest Common Divisior
We found the divisors of 346, 872, 27, 167 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 346, 872, 27, 167 is 1.
Therefore, GCD of numbers 346, 872, 27, 167 is 1
Given Input Data is 346, 872, 27, 167
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 346 is 2 x 173
Prime Factorization of 872 is 2 x 2 x 2 x 109
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 167 is 167
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, 872) = 150856
GCD(346, 872) = ( 346 x 872 ) / 150856
GCD(346, 872) = 301712 / 150856
GCD(346, 872) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 27) = 54
GCD(2, 27) = ( 2 x 27 ) / 54
GCD(2, 27) = 54 / 54
GCD(2, 27) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 167
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 167) = 167
GCD(1, 167) = ( 1 x 167 ) / 167
GCD(1, 167) = 167 / 167
GCD(1, 167) = 1
GCD of 346, 872, 27, 167 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 346, 872, 27, 167?
GCD of 346, 872, 27, 167 is 1
2. Where do I get the detailed procedure to find GCD of 346, 872, 27, 167?
You can find a detailed procedure to find GCD of 346, 872, 27, 167 on our page.
3. How to find GCD of 346, 872, 27, 167 on a calculator?
You can find the GCD of 346, 872, 27, 167 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.