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 821, 516, 683, 177 i.e. 1 largest integer that divides all the numbers equally.
GCD of 821, 516, 683, 177 is 1
GCD(821, 516, 683, 177) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 821, 516, 683, 177 is 1
GCD(821, 516, 683, 177) = 1
Given Input numbers are 821, 516, 683, 177
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 821
List of positive integer divisors of 821 that divides 821 without a remainder.
1, 821
Divisors of 516
List of positive integer divisors of 516 that divides 516 without a remainder.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
Divisors of 683
List of positive integer divisors of 683 that divides 683 without a remainder.
1, 683
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Greatest Common Divisior
We found the divisors of 821, 516, 683, 177 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 516, 683, 177 is 1.
Therefore, GCD of numbers 821, 516, 683, 177 is 1
Given Input Data is 821, 516, 683, 177
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 821 is 821
Prime Factorization of 516 is 2 x 2 x 3 x 43
Prime Factorization of 683 is 683
Prime Factorization of 177 is 3 x 59
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(821, 516) = 423636
GCD(821, 516) = ( 821 x 516 ) / 423636
GCD(821, 516) = 423636 / 423636
GCD(821, 516) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 683
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 683) = 683
GCD(1, 683) = ( 1 x 683 ) / 683
GCD(1, 683) = 683 / 683
GCD(1, 683) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 177
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 177) = 177
GCD(1, 177) = ( 1 x 177 ) / 177
GCD(1, 177) = 177 / 177
GCD(1, 177) = 1
GCD of 821, 516, 683, 177 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 821, 516, 683, 177?
GCD of 821, 516, 683, 177 is 1
2. Where do I get the detailed procedure to find GCD of 821, 516, 683, 177?
You can find a detailed procedure to find GCD of 821, 516, 683, 177 on our page.
3. How to find GCD of 821, 516, 683, 177 on a calculator?
You can find the GCD of 821, 516, 683, 177 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.