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 550, 270, 989 i.e. 1 largest integer that divides all the numbers equally.
GCD of 550, 270, 989 is 1
GCD(550, 270, 989) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 550, 270, 989 is 1
GCD(550, 270, 989) = 1
Given Input numbers are 550, 270, 989
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 550
List of positive integer divisors of 550 that divides 550 without a remainder.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Divisors of 270
List of positive integer divisors of 270 that divides 270 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 989
List of positive integer divisors of 989 that divides 989 without a remainder.
1, 23, 43, 989
Greatest Common Divisior
We found the divisors of 550, 270, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 270, 989 is 1.
Therefore, GCD of numbers 550, 270, 989 is 1
Given Input Data is 550, 270, 989
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 550 is 2 x 5 x 5 x 11
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
Prime Factorization of 989 is 23 x 43
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(550, 270) = 14850
GCD(550, 270) = ( 550 x 270 ) / 14850
GCD(550, 270) = 148500 / 14850
GCD(550, 270) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 989
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 989) = 9890
GCD(10, 989) = ( 10 x 989 ) / 9890
GCD(10, 989) = 9890 / 9890
GCD(10, 989) = 1
GCD of 550, 270, 989 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 550, 270, 989?
GCD of 550, 270, 989 is 1
2. Where do I get the detailed procedure to find GCD of 550, 270, 989?
You can find a detailed procedure to find GCD of 550, 270, 989 on our page.
3. How to find GCD of 550, 270, 989 on a calculator?
You can find the GCD of 550, 270, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.