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, 194, 87 i.e. 1 largest integer that divides all the numbers equally.
GCD of 168, 194, 87 is 1
GCD(168, 194, 87) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 168, 194, 87 is 1
GCD(168, 194, 87) = 1
Given Input numbers are 168, 194, 87
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 194
List of positive integer divisors of 194 that divides 194 without a remainder.
1, 2, 97, 194
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Greatest Common Divisior
We found the divisors of 168, 194, 87 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 194, 87 is 1.
Therefore, GCD of numbers 168, 194, 87 is 1
Given Input Data is 168, 194, 87
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 194 is 2 x 97
Prime Factorization of 87 is 3 x 29
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, 194) = 16296
GCD(168, 194) = ( 168 x 194 ) / 16296
GCD(168, 194) = 32592 / 16296
GCD(168, 194) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 87
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 87) = 174
GCD(2, 87) = ( 2 x 87 ) / 174
GCD(2, 87) = 174 / 174
GCD(2, 87) = 1
GCD of 168, 194, 87 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 168, 194, 87?
GCD of 168, 194, 87 is 1
2. Where do I get the detailed procedure to find GCD of 168, 194, 87?
You can find a detailed procedure to find GCD of 168, 194, 87 on our page.
3. How to find GCD of 168, 194, 87 on a calculator?
You can find the GCD of 168, 194, 87 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.