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 168, 406, 60, 923 i.e. 1 largest integer that divides all the numbers equally.
GCD of 168, 406, 60, 923 is 1
GCD(168, 406, 60, 923) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 168, 406, 60, 923 is 1
GCD(168, 406, 60, 923) = 1
Given Input numbers are 168, 406, 60, 923
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 406
List of positive integer divisors of 406 that divides 406 without a remainder.
1, 2, 7, 14, 29, 58, 203, 406
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 923
List of positive integer divisors of 923 that divides 923 without a remainder.
1, 13, 71, 923
Greatest Common Divisior
We found the divisors of 168, 406, 60, 923 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 406, 60, 923 is 1.
Therefore, GCD of numbers 168, 406, 60, 923 is 1
Given Input Data is 168, 406, 60, 923
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 406 is 2 x 7 x 29
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 923 is 13 x 71
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(168, 406) = 4872
GCD(168, 406) = ( 168 x 406 ) / 4872
GCD(168, 406) = 68208 / 4872
GCD(168, 406) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 60) = 420
GCD(14, 60) = ( 14 x 60 ) / 420
GCD(14, 60) = 840 / 420
GCD(14, 60) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 923
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 923) = 1846
GCD(2, 923) = ( 2 x 923 ) / 1846
GCD(2, 923) = 1846 / 1846
GCD(2, 923) = 1
GCD of 168, 406, 60, 923 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 168, 406, 60, 923?
GCD of 168, 406, 60, 923 is 1
2. Where do I get the detailed procedure to find GCD of 168, 406, 60, 923?
You can find a detailed procedure to find GCD of 168, 406, 60, 923 on our page.
3. How to find GCD of 168, 406, 60, 923 on a calculator?
You can find the GCD of 168, 406, 60, 923 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.