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 311, 705, 552, 227 i.e. 1 largest integer that divides all the numbers equally.
GCD of 311, 705, 552, 227 is 1
GCD(311, 705, 552, 227) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 311, 705, 552, 227 is 1
GCD(311, 705, 552, 227) = 1
Given Input numbers are 311, 705, 552, 227
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 311
List of positive integer divisors of 311 that divides 311 without a remainder.
1, 311
Divisors of 705
List of positive integer divisors of 705 that divides 705 without a remainder.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 552
List of positive integer divisors of 552 that divides 552 without a remainder.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 227
List of positive integer divisors of 227 that divides 227 without a remainder.
1, 227
Greatest Common Divisior
We found the divisors of 311, 705, 552, 227 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 311, 705, 552, 227 is 1.
Therefore, GCD of numbers 311, 705, 552, 227 is 1
Given Input Data is 311, 705, 552, 227
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 311 is 311
Prime Factorization of 705 is 3 x 5 x 47
Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23
Prime Factorization of 227 is 227
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(311, 705) = 219255
GCD(311, 705) = ( 311 x 705 ) / 219255
GCD(311, 705) = 219255 / 219255
GCD(311, 705) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 552
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 552) = 552
GCD(1, 552) = ( 1 x 552 ) / 552
GCD(1, 552) = 552 / 552
GCD(1, 552) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 227
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 227) = 227
GCD(1, 227) = ( 1 x 227 ) / 227
GCD(1, 227) = 227 / 227
GCD(1, 227) = 1
GCD of 311, 705, 552, 227 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 311, 705, 552, 227?
GCD of 311, 705, 552, 227 is 1
2. Where do I get the detailed procedure to find GCD of 311, 705, 552, 227?
You can find a detailed procedure to find GCD of 311, 705, 552, 227 on our page.
3. How to find GCD of 311, 705, 552, 227 on a calculator?
You can find the GCD of 311, 705, 552, 227 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.