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 106, 465, 787, 195 i.e. 1 largest integer that divides all the numbers equally.
GCD of 106, 465, 787, 195 is 1
GCD(106, 465, 787, 195) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 106, 465, 787, 195 is 1
GCD(106, 465, 787, 195) = 1
Given Input numbers are 106, 465, 787, 195
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 106
List of positive integer divisors of 106 that divides 106 without a remainder.
1, 2, 53, 106
Divisors of 465
List of positive integer divisors of 465 that divides 465 without a remainder.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 787
List of positive integer divisors of 787 that divides 787 without a remainder.
1, 787
Divisors of 195
List of positive integer divisors of 195 that divides 195 without a remainder.
1, 3, 5, 13, 15, 39, 65, 195
Greatest Common Divisior
We found the divisors of 106, 465, 787, 195 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 465, 787, 195 is 1.
Therefore, GCD of numbers 106, 465, 787, 195 is 1
Given Input Data is 106, 465, 787, 195
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 106 is 2 x 53
Prime Factorization of 465 is 3 x 5 x 31
Prime Factorization of 787 is 787
Prime Factorization of 195 is 3 x 5 x 13
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(106, 465) = 49290
GCD(106, 465) = ( 106 x 465 ) / 49290
GCD(106, 465) = 49290 / 49290
GCD(106, 465) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 787
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 787) = 787
GCD(1, 787) = ( 1 x 787 ) / 787
GCD(1, 787) = 787 / 787
GCD(1, 787) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 195
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 195) = 195
GCD(1, 195) = ( 1 x 195 ) / 195
GCD(1, 195) = 195 / 195
GCD(1, 195) = 1
GCD of 106, 465, 787, 195 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 106, 465, 787, 195?
GCD of 106, 465, 787, 195 is 1
2. Where do I get the detailed procedure to find GCD of 106, 465, 787, 195?
You can find a detailed procedure to find GCD of 106, 465, 787, 195 on our page.
3. How to find GCD of 106, 465, 787, 195 on a calculator?
You can find the GCD of 106, 465, 787, 195 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.