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 102, 899, 51, 171 i.e. 1 largest integer that divides all the numbers equally.
GCD of 102, 899, 51, 171 is 1
GCD(102, 899, 51, 171) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 102, 899, 51, 171 is 1
GCD(102, 899, 51, 171) = 1
Given Input numbers are 102, 899, 51, 171
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 102
List of positive integer divisors of 102 that divides 102 without a remainder.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 899
List of positive integer divisors of 899 that divides 899 without a remainder.
1, 29, 31, 899
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 171
List of positive integer divisors of 171 that divides 171 without a remainder.
1, 3, 9, 19, 57, 171
Greatest Common Divisior
We found the divisors of 102, 899, 51, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 899, 51, 171 is 1.
Therefore, GCD of numbers 102, 899, 51, 171 is 1
Given Input Data is 102, 899, 51, 171
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 102 is 2 x 3 x 17
Prime Factorization of 899 is 29 x 31
Prime Factorization of 51 is 3 x 17
Prime Factorization of 171 is 3 x 3 x 19
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(102, 899) = 91698
GCD(102, 899) = ( 102 x 899 ) / 91698
GCD(102, 899) = 91698 / 91698
GCD(102, 899) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 51) = 51
GCD(1, 51) = ( 1 x 51 ) / 51
GCD(1, 51) = 51 / 51
GCD(1, 51) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 171
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 171) = 171
GCD(1, 171) = ( 1 x 171 ) / 171
GCD(1, 171) = 171 / 171
GCD(1, 171) = 1
GCD of 102, 899, 51, 171 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 102, 899, 51, 171?
GCD of 102, 899, 51, 171 is 1
2. Where do I get the detailed procedure to find GCD of 102, 899, 51, 171?
You can find a detailed procedure to find GCD of 102, 899, 51, 171 on our page.
3. How to find GCD of 102, 899, 51, 171 on a calculator?
You can find the GCD of 102, 899, 51, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.