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 213, 911, 31, 270 i.e. 1 largest integer that divides all the numbers equally.
GCD of 213, 911, 31, 270 is 1
GCD(213, 911, 31, 270) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 213, 911, 31, 270 is 1
GCD(213, 911, 31, 270) = 1
Given Input numbers are 213, 911, 31, 270
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 213
List of positive integer divisors of 213 that divides 213 without a remainder.
1, 3, 71, 213
Divisors of 911
List of positive integer divisors of 911 that divides 911 without a remainder.
1, 911
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
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
Greatest Common Divisior
We found the divisors of 213, 911, 31, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 911, 31, 270 is 1.
Therefore, GCD of numbers 213, 911, 31, 270 is 1
Given Input Data is 213, 911, 31, 270
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 213 is 3 x 71
Prime Factorization of 911 is 911
Prime Factorization of 31 is 31
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
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(213, 911) = 194043
GCD(213, 911) = ( 213 x 911 ) / 194043
GCD(213, 911) = 194043 / 194043
GCD(213, 911) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 31) = 31
GCD(1, 31) = ( 1 x 31 ) / 31
GCD(1, 31) = 31 / 31
GCD(1, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 270
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 270) = 270
GCD(1, 270) = ( 1 x 270 ) / 270
GCD(1, 270) = 270 / 270
GCD(1, 270) = 1
GCD of 213, 911, 31, 270 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 213, 911, 31, 270?
GCD of 213, 911, 31, 270 is 1
2. Where do I get the detailed procedure to find GCD of 213, 911, 31, 270?
You can find a detailed procedure to find GCD of 213, 911, 31, 270 on our page.
3. How to find GCD of 213, 911, 31, 270 on a calculator?
You can find the GCD of 213, 911, 31, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.