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, 168, 804, 287 i.e. 1 largest integer that divides all the numbers equally.
GCD of 213, 168, 804, 287 is 1
GCD(213, 168, 804, 287) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 213, 168, 804, 287 is 1
GCD(213, 168, 804, 287) = 1
Given Input numbers are 213, 168, 804, 287
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 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 804
List of positive integer divisors of 804 that divides 804 without a remainder.
1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
Divisors of 287
List of positive integer divisors of 287 that divides 287 without a remainder.
1, 7, 41, 287
Greatest Common Divisior
We found the divisors of 213, 168, 804, 287 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 168, 804, 287 is 1.
Therefore, GCD of numbers 213, 168, 804, 287 is 1
Given Input Data is 213, 168, 804, 287
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 213 is 3 x 71
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 804 is 2 x 2 x 3 x 67
Prime Factorization of 287 is 7 x 41
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, 168) = 11928
GCD(213, 168) = ( 213 x 168 ) / 11928
GCD(213, 168) = 35784 / 11928
GCD(213, 168) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 804
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 804) = 804
GCD(3, 804) = ( 3 x 804 ) / 804
GCD(3, 804) = 2412 / 804
GCD(3, 804) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 287
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 287) = 861
GCD(3, 287) = ( 3 x 287 ) / 861
GCD(3, 287) = 861 / 861
GCD(3, 287) = 1
GCD of 213, 168, 804, 287 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 213, 168, 804, 287?
GCD of 213, 168, 804, 287 is 1
2. Where do I get the detailed procedure to find GCD of 213, 168, 804, 287?
You can find a detailed procedure to find GCD of 213, 168, 804, 287 on our page.
3. How to find GCD of 213, 168, 804, 287 on a calculator?
You can find the GCD of 213, 168, 804, 287 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.