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, 645, 306, 626 i.e. 1 largest integer that divides all the numbers equally.
GCD of 513, 645, 306, 626 is 1
GCD(513, 645, 306, 626) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 513, 645, 306, 626 is 1
GCD(513, 645, 306, 626) = 1
Given Input numbers are 513, 645, 306, 626
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 645
List of positive integer divisors of 645 that divides 645 without a remainder.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 306
List of positive integer divisors of 306 that divides 306 without a remainder.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Divisors of 626
List of positive integer divisors of 626 that divides 626 without a remainder.
1, 2, 313, 626
Greatest Common Divisior
We found the divisors of 513, 645, 306, 626 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 645, 306, 626 is 1.
Therefore, GCD of numbers 513, 645, 306, 626 is 1
Given Input Data is 513, 645, 306, 626
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 645 is 3 x 5 x 43
Prime Factorization of 306 is 2 x 3 x 3 x 17
Prime Factorization of 626 is 2 x 313
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, 645) = 110295
GCD(513, 645) = ( 513 x 645 ) / 110295
GCD(513, 645) = 330885 / 110295
GCD(513, 645) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 306
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 306) = 306
GCD(3, 306) = ( 3 x 306 ) / 306
GCD(3, 306) = 918 / 306
GCD(3, 306) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 626
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 626) = 1878
GCD(3, 626) = ( 3 x 626 ) / 1878
GCD(3, 626) = 1878 / 1878
GCD(3, 626) = 1
GCD of 513, 645, 306, 626 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 513, 645, 306, 626?
GCD of 513, 645, 306, 626 is 1
2. Where do I get the detailed procedure to find GCD of 513, 645, 306, 626?
You can find a detailed procedure to find GCD of 513, 645, 306, 626 on our page.
3. How to find GCD of 513, 645, 306, 626 on a calculator?
You can find the GCD of 513, 645, 306, 626 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.