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 549, 164, 364, 650 i.e. 1 largest integer that divides all the numbers equally.
GCD of 549, 164, 364, 650 is 1
GCD(549, 164, 364, 650) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 549, 164, 364, 650 is 1
GCD(549, 164, 364, 650) = 1
Given Input numbers are 549, 164, 364, 650
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 549
List of positive integer divisors of 549 that divides 549 without a remainder.
1, 3, 9, 61, 183, 549
Divisors of 164
List of positive integer divisors of 164 that divides 164 without a remainder.
1, 2, 4, 41, 82, 164
Divisors of 364
List of positive integer divisors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 650
List of positive integer divisors of 650 that divides 650 without a remainder.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
Greatest Common Divisior
We found the divisors of 549, 164, 364, 650 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 549, 164, 364, 650 is 1.
Therefore, GCD of numbers 549, 164, 364, 650 is 1
Given Input Data is 549, 164, 364, 650
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 549 is 3 x 3 x 61
Prime Factorization of 164 is 2 x 2 x 41
Prime Factorization of 364 is 2 x 2 x 7 x 13
Prime Factorization of 650 is 2 x 5 x 5 x 13
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(549, 164) = 90036
GCD(549, 164) = ( 549 x 164 ) / 90036
GCD(549, 164) = 90036 / 90036
GCD(549, 164) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 364
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 364) = 364
GCD(1, 364) = ( 1 x 364 ) / 364
GCD(1, 364) = 364 / 364
GCD(1, 364) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 650
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 650) = 650
GCD(1, 650) = ( 1 x 650 ) / 650
GCD(1, 650) = 650 / 650
GCD(1, 650) = 1
GCD of 549, 164, 364, 650 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 549, 164, 364, 650?
GCD of 549, 164, 364, 650 is 1
2. Where do I get the detailed procedure to find GCD of 549, 164, 364, 650?
You can find a detailed procedure to find GCD of 549, 164, 364, 650 on our page.
3. How to find GCD of 549, 164, 364, 650 on a calculator?
You can find the GCD of 549, 164, 364, 650 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.