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 695, 216, 41, 302 i.e. 1 largest integer that divides all the numbers equally.
GCD of 695, 216, 41, 302 is 1
GCD(695, 216, 41, 302) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 695, 216, 41, 302 is 1
GCD(695, 216, 41, 302) = 1
Given Input numbers are 695, 216, 41, 302
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 695
List of positive integer divisors of 695 that divides 695 without a remainder.
1, 5, 139, 695
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 41
List of positive integer divisors of 41 that divides 41 without a remainder.
1, 41
Divisors of 302
List of positive integer divisors of 302 that divides 302 without a remainder.
1, 2, 151, 302
Greatest Common Divisior
We found the divisors of 695, 216, 41, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 695, 216, 41, 302 is 1.
Therefore, GCD of numbers 695, 216, 41, 302 is 1
Given Input Data is 695, 216, 41, 302
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 695 is 5 x 139
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 41 is 41
Prime Factorization of 302 is 2 x 151
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(695, 216) = 150120
GCD(695, 216) = ( 695 x 216 ) / 150120
GCD(695, 216) = 150120 / 150120
GCD(695, 216) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 41
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 41) = 41
GCD(1, 41) = ( 1 x 41 ) / 41
GCD(1, 41) = 41 / 41
GCD(1, 41) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 302
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 302) = 302
GCD(1, 302) = ( 1 x 302 ) / 302
GCD(1, 302) = 302 / 302
GCD(1, 302) = 1
GCD of 695, 216, 41, 302 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 695, 216, 41, 302?
GCD of 695, 216, 41, 302 is 1
2. Where do I get the detailed procedure to find GCD of 695, 216, 41, 302?
You can find a detailed procedure to find GCD of 695, 216, 41, 302 on our page.
3. How to find GCD of 695, 216, 41, 302 on a calculator?
You can find the GCD of 695, 216, 41, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.