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 195, 816, 65, 262 i.e. 1 largest integer that divides all the numbers equally.
GCD of 195, 816, 65, 262 is 1
GCD(195, 816, 65, 262) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 195, 816, 65, 262 is 1
GCD(195, 816, 65, 262) = 1
Given Input numbers are 195, 816, 65, 262
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 195
List of positive integer divisors of 195 that divides 195 without a remainder.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 816
List of positive integer divisors of 816 that divides 816 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 262
List of positive integer divisors of 262 that divides 262 without a remainder.
1, 2, 131, 262
Greatest Common Divisior
We found the divisors of 195, 816, 65, 262 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 816, 65, 262 is 1.
Therefore, GCD of numbers 195, 816, 65, 262 is 1
Given Input Data is 195, 816, 65, 262
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 195 is 3 x 5 x 13
Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17
Prime Factorization of 65 is 5 x 13
Prime Factorization of 262 is 2 x 131
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(195, 816) = 53040
GCD(195, 816) = ( 195 x 816 ) / 53040
GCD(195, 816) = 159120 / 53040
GCD(195, 816) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 65) = 195
GCD(3, 65) = ( 3 x 65 ) / 195
GCD(3, 65) = 195 / 195
GCD(3, 65) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 262
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 262) = 262
GCD(1, 262) = ( 1 x 262 ) / 262
GCD(1, 262) = 262 / 262
GCD(1, 262) = 1
GCD of 195, 816, 65, 262 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 195, 816, 65, 262?
GCD of 195, 816, 65, 262 is 1
2. Where do I get the detailed procedure to find GCD of 195, 816, 65, 262?
You can find a detailed procedure to find GCD of 195, 816, 65, 262 on our page.
3. How to find GCD of 195, 816, 65, 262 on a calculator?
You can find the GCD of 195, 816, 65, 262 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.