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 36, 615, 671, 775 i.e. 1 largest integer that divides all the numbers equally.
GCD of 36, 615, 671, 775 is 1
GCD(36, 615, 671, 775) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 36, 615, 671, 775 is 1
GCD(36, 615, 671, 775) = 1
Given Input numbers are 36, 615, 671, 775
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 615
List of positive integer divisors of 615 that divides 615 without a remainder.
1, 3, 5, 15, 41, 123, 205, 615
Divisors of 671
List of positive integer divisors of 671 that divides 671 without a remainder.
1, 11, 61, 671
Divisors of 775
List of positive integer divisors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Greatest Common Divisior
We found the divisors of 36, 615, 671, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 615, 671, 775 is 1.
Therefore, GCD of numbers 36, 615, 671, 775 is 1
Given Input Data is 36, 615, 671, 775
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 615 is 3 x 5 x 41
Prime Factorization of 671 is 11 x 61
Prime Factorization of 775 is 5 x 5 x 31
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(36, 615) = 7380
GCD(36, 615) = ( 36 x 615 ) / 7380
GCD(36, 615) = 22140 / 7380
GCD(36, 615) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 671
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 671) = 2013
GCD(3, 671) = ( 3 x 671 ) / 2013
GCD(3, 671) = 2013 / 2013
GCD(3, 671) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 775
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 775) = 775
GCD(1, 775) = ( 1 x 775 ) / 775
GCD(1, 775) = 775 / 775
GCD(1, 775) = 1
GCD of 36, 615, 671, 775 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 36, 615, 671, 775?
GCD of 36, 615, 671, 775 is 1
2. Where do I get the detailed procedure to find GCD of 36, 615, 671, 775?
You can find a detailed procedure to find GCD of 36, 615, 671, 775 on our page.
3. How to find GCD of 36, 615, 671, 775 on a calculator?
You can find the GCD of 36, 615, 671, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.