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, 845, 495, 162 i.e. 1 largest integer that divides all the numbers equally.
GCD of 102, 845, 495, 162 is 1
GCD(102, 845, 495, 162) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 102, 845, 495, 162 is 1
GCD(102, 845, 495, 162) = 1
Given Input numbers are 102, 845, 495, 162
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 845
List of positive integer divisors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
Divisors of 495
List of positive integer divisors of 495 that divides 495 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Divisors of 162
List of positive integer divisors of 162 that divides 162 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Greatest Common Divisior
We found the divisors of 102, 845, 495, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 845, 495, 162 is 1.
Therefore, GCD of numbers 102, 845, 495, 162 is 1
Given Input Data is 102, 845, 495, 162
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 845 is 5 x 13 x 13
Prime Factorization of 495 is 3 x 3 x 5 x 11
Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3
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, 845) = 86190
GCD(102, 845) = ( 102 x 845 ) / 86190
GCD(102, 845) = 86190 / 86190
GCD(102, 845) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 495
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 495) = 495
GCD(1, 495) = ( 1 x 495 ) / 495
GCD(1, 495) = 495 / 495
GCD(1, 495) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 162
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 162) = 162
GCD(1, 162) = ( 1 x 162 ) / 162
GCD(1, 162) = 162 / 162
GCD(1, 162) = 1
GCD of 102, 845, 495, 162 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 102, 845, 495, 162?
GCD of 102, 845, 495, 162 is 1
2. Where do I get the detailed procedure to find GCD of 102, 845, 495, 162?
You can find a detailed procedure to find GCD of 102, 845, 495, 162 on our page.
3. How to find GCD of 102, 845, 495, 162 on a calculator?
You can find the GCD of 102, 845, 495, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.