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 677, 999, 73, 529 i.e. 1 largest integer that divides all the numbers equally.
GCD of 677, 999, 73, 529 is 1
GCD(677, 999, 73, 529) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 677, 999, 73, 529 is 1
GCD(677, 999, 73, 529) = 1
Given Input numbers are 677, 999, 73, 529
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 677
List of positive integer divisors of 677 that divides 677 without a remainder.
1, 677
Divisors of 999
List of positive integer divisors of 999 that divides 999 without a remainder.
1, 3, 9, 27, 37, 111, 333, 999
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 529
List of positive integer divisors of 529 that divides 529 without a remainder.
1, 23, 529
Greatest Common Divisior
We found the divisors of 677, 999, 73, 529 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 677, 999, 73, 529 is 1.
Therefore, GCD of numbers 677, 999, 73, 529 is 1
Given Input Data is 677, 999, 73, 529
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 677 is 677
Prime Factorization of 999 is 3 x 3 x 3 x 37
Prime Factorization of 73 is 73
Prime Factorization of 529 is 23 x 23
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(677, 999) = 676323
GCD(677, 999) = ( 677 x 999 ) / 676323
GCD(677, 999) = 676323 / 676323
GCD(677, 999) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 73) = 73
GCD(1, 73) = ( 1 x 73 ) / 73
GCD(1, 73) = 73 / 73
GCD(1, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 529
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 529) = 529
GCD(1, 529) = ( 1 x 529 ) / 529
GCD(1, 529) = 529 / 529
GCD(1, 529) = 1
GCD of 677, 999, 73, 529 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 677, 999, 73, 529?
GCD of 677, 999, 73, 529 is 1
2. Where do I get the detailed procedure to find GCD of 677, 999, 73, 529?
You can find a detailed procedure to find GCD of 677, 999, 73, 529 on our page.
3. How to find GCD of 677, 999, 73, 529 on a calculator?
You can find the GCD of 677, 999, 73, 529 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.