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 820, 317, 36, 760 i.e. 1 largest integer that divides all the numbers equally.
GCD of 820, 317, 36, 760 is 1
GCD(820, 317, 36, 760) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 820, 317, 36, 760 is 1
GCD(820, 317, 36, 760) = 1
Given Input numbers are 820, 317, 36, 760
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 317
List of positive integer divisors of 317 that divides 317 without a remainder.
1, 317
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 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Greatest Common Divisior
We found the divisors of 820, 317, 36, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 317, 36, 760 is 1.
Therefore, GCD of numbers 820, 317, 36, 760 is 1
Given Input Data is 820, 317, 36, 760
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 317 is 317
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
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(820, 317) = 259940
GCD(820, 317) = ( 820 x 317 ) / 259940
GCD(820, 317) = 259940 / 259940
GCD(820, 317) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 36) = 36
GCD(1, 36) = ( 1 x 36 ) / 36
GCD(1, 36) = 36 / 36
GCD(1, 36) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 760
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 760) = 760
GCD(1, 760) = ( 1 x 760 ) / 760
GCD(1, 760) = 760 / 760
GCD(1, 760) = 1
GCD of 820, 317, 36, 760 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 820, 317, 36, 760?
GCD of 820, 317, 36, 760 is 1
2. Where do I get the detailed procedure to find GCD of 820, 317, 36, 760?
You can find a detailed procedure to find GCD of 820, 317, 36, 760 on our page.
3. How to find GCD of 820, 317, 36, 760 on a calculator?
You can find the GCD of 820, 317, 36, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.