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 513, 812, 936, 982 i.e. 1 largest integer that divides all the numbers equally.
GCD of 513, 812, 936, 982 is 1
GCD(513, 812, 936, 982) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 513, 812, 936, 982 is 1
GCD(513, 812, 936, 982) = 1
Given Input numbers are 513, 812, 936, 982
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 513
List of positive integer divisors of 513 that divides 513 without a remainder.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 812
List of positive integer divisors of 812 that divides 812 without a remainder.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Divisors of 936
List of positive integer divisors of 936 that divides 936 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Divisors of 982
List of positive integer divisors of 982 that divides 982 without a remainder.
1, 2, 491, 982
Greatest Common Divisior
We found the divisors of 513, 812, 936, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 812, 936, 982 is 1.
Therefore, GCD of numbers 513, 812, 936, 982 is 1
Given Input Data is 513, 812, 936, 982
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 513 is 3 x 3 x 3 x 19
Prime Factorization of 812 is 2 x 2 x 7 x 29
Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13
Prime Factorization of 982 is 2 x 491
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(513, 812) = 416556
GCD(513, 812) = ( 513 x 812 ) / 416556
GCD(513, 812) = 416556 / 416556
GCD(513, 812) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 936
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 936) = 936
GCD(1, 936) = ( 1 x 936 ) / 936
GCD(1, 936) = 936 / 936
GCD(1, 936) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 982
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 982) = 982
GCD(1, 982) = ( 1 x 982 ) / 982
GCD(1, 982) = 982 / 982
GCD(1, 982) = 1
GCD of 513, 812, 936, 982 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 513, 812, 936, 982?
GCD of 513, 812, 936, 982 is 1
2. Where do I get the detailed procedure to find GCD of 513, 812, 936, 982?
You can find a detailed procedure to find GCD of 513, 812, 936, 982 on our page.
3. How to find GCD of 513, 812, 936, 982 on a calculator?
You can find the GCD of 513, 812, 936, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.