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, 289, 17, 771 i.e. 1 largest integer that divides all the numbers equally.
GCD of 213, 289, 17, 771 is 1
GCD(213, 289, 17, 771) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 213, 289, 17, 771 is 1
GCD(213, 289, 17, 771) = 1
Given Input numbers are 213, 289, 17, 771
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 289
List of positive integer divisors of 289 that divides 289 without a remainder.
1, 17, 289
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Greatest Common Divisior
We found the divisors of 213, 289, 17, 771 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 289, 17, 771 is 1.
Therefore, GCD of numbers 213, 289, 17, 771 is 1
Given Input Data is 213, 289, 17, 771
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 213 is 3 x 71
Prime Factorization of 289 is 17 x 17
Prime Factorization of 17 is 17
Prime Factorization of 771 is 3 x 257
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, 289) = 61557
GCD(213, 289) = ( 213 x 289 ) / 61557
GCD(213, 289) = 61557 / 61557
GCD(213, 289) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 17) = 17
GCD(1, 17) = ( 1 x 17 ) / 17
GCD(1, 17) = 17 / 17
GCD(1, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 771
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 771) = 771
GCD(1, 771) = ( 1 x 771 ) / 771
GCD(1, 771) = 771 / 771
GCD(1, 771) = 1
GCD of 213, 289, 17, 771 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 213, 289, 17, 771?
GCD of 213, 289, 17, 771 is 1
2. Where do I get the detailed procedure to find GCD of 213, 289, 17, 771?
You can find a detailed procedure to find GCD of 213, 289, 17, 771 on our page.
3. How to find GCD of 213, 289, 17, 771 on a calculator?
You can find the GCD of 213, 289, 17, 771 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.