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 820, 549, 18, 345 i.e. 1 largest integer that divides all the numbers equally.
GCD of 820, 549, 18, 345 is 1
GCD(820, 549, 18, 345) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 820, 549, 18, 345 is 1
GCD(820, 549, 18, 345) = 1
Given Input numbers are 820, 549, 18, 345
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 549
List of positive integer divisors of 549 that divides 549 without a remainder.
1, 3, 9, 61, 183, 549
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
Greatest Common Divisior
We found the divisors of 820, 549, 18, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 549, 18, 345 is 1.
Therefore, GCD of numbers 820, 549, 18, 345 is 1
Given Input Data is 820, 549, 18, 345
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 549 is 3 x 3 x 61
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 345 is 3 x 5 x 23
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(820, 549) = 450180
GCD(820, 549) = ( 820 x 549 ) / 450180
GCD(820, 549) = 450180 / 450180
GCD(820, 549) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 18) = 18
GCD(1, 18) = ( 1 x 18 ) / 18
GCD(1, 18) = 18 / 18
GCD(1, 18) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 345
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 345) = 345
GCD(1, 345) = ( 1 x 345 ) / 345
GCD(1, 345) = 345 / 345
GCD(1, 345) = 1
GCD of 820, 549, 18, 345 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 820, 549, 18, 345?
GCD of 820, 549, 18, 345 is 1
2. Where do I get the detailed procedure to find GCD of 820, 549, 18, 345?
You can find a detailed procedure to find GCD of 820, 549, 18, 345 on our page.
3. How to find GCD of 820, 549, 18, 345 on a calculator?
You can find the GCD of 820, 549, 18, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.