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 216, 316, 801, 281 i.e. 1 largest integer that divides all the numbers equally.
GCD of 216, 316, 801, 281 is 1
GCD(216, 316, 801, 281) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 216, 316, 801, 281 is 1
GCD(216, 316, 801, 281) = 1
Given Input numbers are 216, 316, 801, 281
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 216
List of positive integer divisors of 216 that divides 216 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Divisors of 801
List of positive integer divisors of 801 that divides 801 without a remainder.
1, 3, 9, 89, 267, 801
Divisors of 281
List of positive integer divisors of 281 that divides 281 without a remainder.
1, 281
Greatest Common Divisior
We found the divisors of 216, 316, 801, 281 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 316, 801, 281 is 1.
Therefore, GCD of numbers 216, 316, 801, 281 is 1
Given Input Data is 216, 316, 801, 281
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 316 is 2 x 2 x 79
Prime Factorization of 801 is 3 x 3 x 89
Prime Factorization of 281 is 281
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(216, 316) = 17064
GCD(216, 316) = ( 216 x 316 ) / 17064
GCD(216, 316) = 68256 / 17064
GCD(216, 316) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 801
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 801) = 3204
GCD(4, 801) = ( 4 x 801 ) / 3204
GCD(4, 801) = 3204 / 3204
GCD(4, 801) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 281
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 281) = 281
GCD(1, 281) = ( 1 x 281 ) / 281
GCD(1, 281) = 281 / 281
GCD(1, 281) = 1
GCD of 216, 316, 801, 281 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 216, 316, 801, 281?
GCD of 216, 316, 801, 281 is 1
2. Where do I get the detailed procedure to find GCD of 216, 316, 801, 281?
You can find a detailed procedure to find GCD of 216, 316, 801, 281 on our page.
3. How to find GCD of 216, 316, 801, 281 on a calculator?
You can find the GCD of 216, 316, 801, 281 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.