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, 641, 682, 513 i.e. 1 largest integer that divides all the numbers equally.
GCD of 36, 641, 682, 513 is 1
GCD(36, 641, 682, 513) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 36, 641, 682, 513 is 1
GCD(36, 641, 682, 513) = 1
Given Input numbers are 36, 641, 682, 513
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 641
List of positive integer divisors of 641 that divides 641 without a remainder.
1, 641
Divisors of 682
List of positive integer divisors of 682 that divides 682 without a remainder.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 513
List of positive integer divisors of 513 that divides 513 without a remainder.
1, 3, 9, 19, 27, 57, 171, 513
Greatest Common Divisior
We found the divisors of 36, 641, 682, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 641, 682, 513 is 1.
Therefore, GCD of numbers 36, 641, 682, 513 is 1
Given Input Data is 36, 641, 682, 513
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 641 is 641
Prime Factorization of 682 is 2 x 11 x 31
Prime Factorization of 513 is 3 x 3 x 3 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(36, 641) = 23076
GCD(36, 641) = ( 36 x 641 ) / 23076
GCD(36, 641) = 23076 / 23076
GCD(36, 641) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 682
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 682) = 682
GCD(1, 682) = ( 1 x 682 ) / 682
GCD(1, 682) = 682 / 682
GCD(1, 682) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 513
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 513) = 513
GCD(1, 513) = ( 1 x 513 ) / 513
GCD(1, 513) = 513 / 513
GCD(1, 513) = 1
GCD of 36, 641, 682, 513 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 36, 641, 682, 513?
GCD of 36, 641, 682, 513 is 1
2. Where do I get the detailed procedure to find GCD of 36, 641, 682, 513?
You can find a detailed procedure to find GCD of 36, 641, 682, 513 on our page.
3. How to find GCD of 36, 641, 682, 513 on a calculator?
You can find the GCD of 36, 641, 682, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.