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 155, 215, 102 i.e. 1 largest integer that divides all the numbers equally.
GCD of 155, 215, 102 is 1
GCD(155, 215, 102) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 155, 215, 102 is 1
GCD(155, 215, 102) = 1
Given Input numbers are 155, 215, 102
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Divisors of 215
List of positive integer divisors of 215 that divides 215 without a remainder.
1, 5, 43, 215
Divisors of 102
List of positive integer divisors of 102 that divides 102 without a remainder.
1, 2, 3, 6, 17, 34, 51, 102
Greatest Common Divisior
We found the divisors of 155, 215, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 155, 215, 102 is 1.
Therefore, GCD of numbers 155, 215, 102 is 1
Given Input Data is 155, 215, 102
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 155 is 5 x 31
Prime Factorization of 215 is 5 x 43
Prime Factorization of 102 is 2 x 3 x 17
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(155, 215) = 6665
GCD(155, 215) = ( 155 x 215 ) / 6665
GCD(155, 215) = 33325 / 6665
GCD(155, 215) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 102
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 102) = 510
GCD(5, 102) = ( 5 x 102 ) / 510
GCD(5, 102) = 510 / 510
GCD(5, 102) = 1
GCD of 155, 215, 102 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 155, 215, 102?
GCD of 155, 215, 102 is 1
2. Where do I get the detailed procedure to find GCD of 155, 215, 102?
You can find a detailed procedure to find GCD of 155, 215, 102 on our page.
3. How to find GCD of 155, 215, 102 on a calculator?
You can find the GCD of 155, 215, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.