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, 396, 634, 220 i.e. 1 largest integer that divides all the numbers equally.
GCD of 513, 396, 634, 220 is 1
GCD(513, 396, 634, 220) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 513, 396, 634, 220 is 1
GCD(513, 396, 634, 220) = 1
Given Input numbers are 513, 396, 634, 220
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 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 634
List of positive integer divisors of 634 that divides 634 without a remainder.
1, 2, 317, 634
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Greatest Common Divisior
We found the divisors of 513, 396, 634, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 396, 634, 220 is 1.
Therefore, GCD of numbers 513, 396, 634, 220 is 1
Given Input Data is 513, 396, 634, 220
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 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 634 is 2 x 317
Prime Factorization of 220 is 2 x 2 x 5 x 11
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, 396) = 22572
GCD(513, 396) = ( 513 x 396 ) / 22572
GCD(513, 396) = 203148 / 22572
GCD(513, 396) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 634
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 634) = 5706
GCD(9, 634) = ( 9 x 634 ) / 5706
GCD(9, 634) = 5706 / 5706
GCD(9, 634) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 220
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 220) = 220
GCD(1, 220) = ( 1 x 220 ) / 220
GCD(1, 220) = 220 / 220
GCD(1, 220) = 1
GCD of 513, 396, 634, 220 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 513, 396, 634, 220?
GCD of 513, 396, 634, 220 is 1
2. Where do I get the detailed procedure to find GCD of 513, 396, 634, 220?
You can find a detailed procedure to find GCD of 513, 396, 634, 220 on our page.
3. How to find GCD of 513, 396, 634, 220 on a calculator?
You can find the GCD of 513, 396, 634, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.