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 363, 852, 695 i.e. 1 largest integer that divides all the numbers equally.
GCD of 363, 852, 695 is 1
GCD(363, 852, 695) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 363, 852, 695 is 1
GCD(363, 852, 695) = 1
Given Input numbers are 363, 852, 695
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Divisors of 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 695
List of positive integer divisors of 695 that divides 695 without a remainder.
1, 5, 139, 695
Greatest Common Divisior
We found the divisors of 363, 852, 695 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 852, 695 is 1.
Therefore, GCD of numbers 363, 852, 695 is 1
Given Input Data is 363, 852, 695
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 363 is 3 x 11 x 11
Prime Factorization of 852 is 2 x 2 x 3 x 71
Prime Factorization of 695 is 5 x 139
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(363, 852) = 103092
GCD(363, 852) = ( 363 x 852 ) / 103092
GCD(363, 852) = 309276 / 103092
GCD(363, 852) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 695
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 695) = 2085
GCD(3, 695) = ( 3 x 695 ) / 2085
GCD(3, 695) = 2085 / 2085
GCD(3, 695) = 1
GCD of 363, 852, 695 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 363, 852, 695?
GCD of 363, 852, 695 is 1
2. Where do I get the detailed procedure to find GCD of 363, 852, 695?
You can find a detailed procedure to find GCD of 363, 852, 695 on our page.
3. How to find GCD of 363, 852, 695 on a calculator?
You can find the GCD of 363, 852, 695 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.