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, 311, 33, 162 i.e. 1 largest integer that divides all the numbers equally.
GCD of 550, 311, 33, 162 is 1
GCD(550, 311, 33, 162) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 550, 311, 33, 162 is 1
GCD(550, 311, 33, 162) = 1
Given Input numbers are 550, 311, 33, 162
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 311
List of positive integer divisors of 311 that divides 311 without a remainder.
1, 311
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Divisors of 162
List of positive integer divisors of 162 that divides 162 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Greatest Common Divisior
We found the divisors of 550, 311, 33, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 311, 33, 162 is 1.
Therefore, GCD of numbers 550, 311, 33, 162 is 1
Given Input Data is 550, 311, 33, 162
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 311 is 311
Prime Factorization of 33 is 3 x 11
Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3
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, 311) = 171050
GCD(550, 311) = ( 550 x 311 ) / 171050
GCD(550, 311) = 171050 / 171050
GCD(550, 311) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 33
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 33) = 33
GCD(1, 33) = ( 1 x 33 ) / 33
GCD(1, 33) = 33 / 33
GCD(1, 33) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 162
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 162) = 162
GCD(1, 162) = ( 1 x 162 ) / 162
GCD(1, 162) = 162 / 162
GCD(1, 162) = 1
GCD of 550, 311, 33, 162 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 550, 311, 33, 162?
GCD of 550, 311, 33, 162 is 1
2. Where do I get the detailed procedure to find GCD of 550, 311, 33, 162?
You can find a detailed procedure to find GCD of 550, 311, 33, 162 on our page.
3. How to find GCD of 550, 311, 33, 162 on a calculator?
You can find the GCD of 550, 311, 33, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.