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 287, 213, 135, 550 i.e. 1 largest integer that divides all the numbers equally.
GCD of 287, 213, 135, 550 is 1
GCD(287, 213, 135, 550) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 287, 213, 135, 550 is 1
GCD(287, 213, 135, 550) = 1
Given Input numbers are 287, 213, 135, 550
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 287
List of positive integer divisors of 287 that divides 287 without a remainder.
1, 7, 41, 287
Divisors of 213
List of positive integer divisors of 213 that divides 213 without a remainder.
1, 3, 71, 213
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
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
Greatest Common Divisior
We found the divisors of 287, 213, 135, 550 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 287, 213, 135, 550 is 1.
Therefore, GCD of numbers 287, 213, 135, 550 is 1
Given Input Data is 287, 213, 135, 550
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 287 is 7 x 41
Prime Factorization of 213 is 3 x 71
Prime Factorization of 135 is 3 x 3 x 3 x 5
Prime Factorization of 550 is 2 x 5 x 5 x 11
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(287, 213) = 61131
GCD(287, 213) = ( 287 x 213 ) / 61131
GCD(287, 213) = 61131 / 61131
GCD(287, 213) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 135
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 135) = 135
GCD(1, 135) = ( 1 x 135 ) / 135
GCD(1, 135) = 135 / 135
GCD(1, 135) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 550
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 550) = 550
GCD(1, 550) = ( 1 x 550 ) / 550
GCD(1, 550) = 550 / 550
GCD(1, 550) = 1
GCD of 287, 213, 135, 550 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 287, 213, 135, 550?
GCD of 287, 213, 135, 550 is 1
2. Where do I get the detailed procedure to find GCD of 287, 213, 135, 550?
You can find a detailed procedure to find GCD of 287, 213, 135, 550 on our page.
3. How to find GCD of 287, 213, 135, 550 on a calculator?
You can find the GCD of 287, 213, 135, 550 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.