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 676, 216, 89, 521 i.e. 1 largest integer that divides all the numbers equally.
GCD of 676, 216, 89, 521 is 1
GCD(676, 216, 89, 521) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 676, 216, 89, 521 is 1
GCD(676, 216, 89, 521) = 1
Given Input numbers are 676, 216, 89, 521
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
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 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Divisors of 521
List of positive integer divisors of 521 that divides 521 without a remainder.
1, 521
Greatest Common Divisior
We found the divisors of 676, 216, 89, 521 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 216, 89, 521 is 1.
Therefore, GCD of numbers 676, 216, 89, 521 is 1
Given Input Data is 676, 216, 89, 521
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 676 is 2 x 2 x 13 x 13
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 89 is 89
Prime Factorization of 521 is 521
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(676, 216) = 36504
GCD(676, 216) = ( 676 x 216 ) / 36504
GCD(676, 216) = 146016 / 36504
GCD(676, 216) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 89
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 89) = 356
GCD(4, 89) = ( 4 x 89 ) / 356
GCD(4, 89) = 356 / 356
GCD(4, 89) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 521
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 521) = 521
GCD(1, 521) = ( 1 x 521 ) / 521
GCD(1, 521) = 521 / 521
GCD(1, 521) = 1
GCD of 676, 216, 89, 521 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 676, 216, 89, 521?
GCD of 676, 216, 89, 521 is 1
2. Where do I get the detailed procedure to find GCD of 676, 216, 89, 521?
You can find a detailed procedure to find GCD of 676, 216, 89, 521 on our page.
3. How to find GCD of 676, 216, 89, 521 on a calculator?
You can find the GCD of 676, 216, 89, 521 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.