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 261, 216, 695, 192 i.e. 1 largest integer that divides all the numbers equally.
GCD of 261, 216, 695, 192 is 1
GCD(261, 216, 695, 192) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 261, 216, 695, 192 is 1
GCD(261, 216, 695, 192) = 1
Given Input numbers are 261, 216, 695, 192
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 261
List of positive integer divisors of 261 that divides 261 without a remainder.
1, 3, 9, 29, 87, 261
Divisors of 216
List of positive integer divisors of 216 that divides 216 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 695
List of positive integer divisors of 695 that divides 695 without a remainder.
1, 5, 139, 695
Divisors of 192
List of positive integer divisors of 192 that divides 192 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
Greatest Common Divisior
We found the divisors of 261, 216, 695, 192 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 216, 695, 192 is 1.
Therefore, GCD of numbers 261, 216, 695, 192 is 1
Given Input Data is 261, 216, 695, 192
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 261 is 3 x 3 x 29
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 695 is 5 x 139
Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 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(261, 216) = 6264
GCD(261, 216) = ( 261 x 216 ) / 6264
GCD(261, 216) = 56376 / 6264
GCD(261, 216) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 695
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 695) = 6255
GCD(9, 695) = ( 9 x 695 ) / 6255
GCD(9, 695) = 6255 / 6255
GCD(9, 695) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 192
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 192) = 192
GCD(1, 192) = ( 1 x 192 ) / 192
GCD(1, 192) = 192 / 192
GCD(1, 192) = 1
GCD of 261, 216, 695, 192 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 261, 216, 695, 192?
GCD of 261, 216, 695, 192 is 1
2. Where do I get the detailed procedure to find GCD of 261, 216, 695, 192?
You can find a detailed procedure to find GCD of 261, 216, 695, 192 on our page.
3. How to find GCD of 261, 216, 695, 192 on a calculator?
You can find the GCD of 261, 216, 695, 192 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.