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, 109, 347, 820 i.e. 1 largest integer that divides all the numbers equally.
GCD of 513, 109, 347, 820 is 1
GCD(513, 109, 347, 820) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 513, 109, 347, 820 is 1
GCD(513, 109, 347, 820) = 1
Given Input numbers are 513, 109, 347, 820
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 109
List of positive integer divisors of 109 that divides 109 without a remainder.
1, 109
Divisors of 347
List of positive integer divisors of 347 that divides 347 without a remainder.
1, 347
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
Greatest Common Divisior
We found the divisors of 513, 109, 347, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 109, 347, 820 is 1.
Therefore, GCD of numbers 513, 109, 347, 820 is 1
Given Input Data is 513, 109, 347, 820
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 109 is 109
Prime Factorization of 347 is 347
Prime Factorization of 820 is 2 x 2 x 5 x 41
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, 109) = 55917
GCD(513, 109) = ( 513 x 109 ) / 55917
GCD(513, 109) = 55917 / 55917
GCD(513, 109) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 347
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 347) = 347
GCD(1, 347) = ( 1 x 347 ) / 347
GCD(1, 347) = 347 / 347
GCD(1, 347) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 820
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 820) = 820
GCD(1, 820) = ( 1 x 820 ) / 820
GCD(1, 820) = 820 / 820
GCD(1, 820) = 1
GCD of 513, 109, 347, 820 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 513, 109, 347, 820?
GCD of 513, 109, 347, 820 is 1
2. Where do I get the detailed procedure to find GCD of 513, 109, 347, 820?
You can find a detailed procedure to find GCD of 513, 109, 347, 820 on our page.
3. How to find GCD of 513, 109, 347, 820 on a calculator?
You can find the GCD of 513, 109, 347, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.