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, 950, 85, 789 i.e. 1 largest integer that divides all the numbers equally.
GCD of 549, 950, 85, 789 is 1
GCD(549, 950, 85, 789) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 549, 950, 85, 789 is 1
GCD(549, 950, 85, 789) = 1
Given Input numbers are 549, 950, 85, 789
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 950
List of positive integer divisors of 950 that divides 950 without a remainder.
1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Greatest Common Divisior
We found the divisors of 549, 950, 85, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 549, 950, 85, 789 is 1.
Therefore, GCD of numbers 549, 950, 85, 789 is 1
Given Input Data is 549, 950, 85, 789
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 950 is 2 x 5 x 5 x 19
Prime Factorization of 85 is 5 x 17
Prime Factorization of 789 is 3 x 263
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, 950) = 521550
GCD(549, 950) = ( 549 x 950 ) / 521550
GCD(549, 950) = 521550 / 521550
GCD(549, 950) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 85) = 85
GCD(1, 85) = ( 1 x 85 ) / 85
GCD(1, 85) = 85 / 85
GCD(1, 85) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 789
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 789) = 789
GCD(1, 789) = ( 1 x 789 ) / 789
GCD(1, 789) = 789 / 789
GCD(1, 789) = 1
GCD of 549, 950, 85, 789 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 549, 950, 85, 789?
GCD of 549, 950, 85, 789 is 1
2. Where do I get the detailed procedure to find GCD of 549, 950, 85, 789?
You can find a detailed procedure to find GCD of 549, 950, 85, 789 on our page.
3. How to find GCD of 549, 950, 85, 789 on a calculator?
You can find the GCD of 549, 950, 85, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.