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, 355, 27, 162 i.e. 1 largest integer that divides all the numbers equally.
GCD of 695, 355, 27, 162 is 1
GCD(695, 355, 27, 162) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 695, 355, 27, 162 is 1
GCD(695, 355, 27, 162) = 1
Given Input numbers are 695, 355, 27, 162
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 355
List of positive integer divisors of 355 that divides 355 without a remainder.
1, 5, 71, 355
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 162
List of positive integer divisors of 162 that divides 162 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Greatest Common Divisior
We found the divisors of 695, 355, 27, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 695, 355, 27, 162 is 1.
Therefore, GCD of numbers 695, 355, 27, 162 is 1
Given Input Data is 695, 355, 27, 162
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 695 is 5 x 139
Prime Factorization of 355 is 5 x 71
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 162 is 2 x 3 x 3 x 3 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(695, 355) = 49345
GCD(695, 355) = ( 695 x 355 ) / 49345
GCD(695, 355) = 246725 / 49345
GCD(695, 355) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 27) = 135
GCD(5, 27) = ( 5 x 27 ) / 135
GCD(5, 27) = 135 / 135
GCD(5, 27) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 162
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 162) = 162
GCD(1, 162) = ( 1 x 162 ) / 162
GCD(1, 162) = 162 / 162
GCD(1, 162) = 1
GCD of 695, 355, 27, 162 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 695, 355, 27, 162?
GCD of 695, 355, 27, 162 is 1
2. Where do I get the detailed procedure to find GCD of 695, 355, 27, 162?
You can find a detailed procedure to find GCD of 695, 355, 27, 162 on our page.
3. How to find GCD of 695, 355, 27, 162 on a calculator?
You can find the GCD of 695, 355, 27, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.