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 669, 687, 583, 667 i.e. 1 largest integer that divides all the numbers equally.
GCD of 669, 687, 583, 667 is 1
GCD(669, 687, 583, 667) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 669, 687, 583, 667 is 1
GCD(669, 687, 583, 667) = 1
Given Input numbers are 669, 687, 583, 667
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 669
List of positive integer divisors of 669 that divides 669 without a remainder.
1, 3, 223, 669
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Divisors of 583
List of positive integer divisors of 583 that divides 583 without a remainder.
1, 11, 53, 583
Divisors of 667
List of positive integer divisors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Greatest Common Divisior
We found the divisors of 669, 687, 583, 667 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 669, 687, 583, 667 is 1.
Therefore, GCD of numbers 669, 687, 583, 667 is 1
Given Input Data is 669, 687, 583, 667
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 669 is 3 x 223
Prime Factorization of 687 is 3 x 229
Prime Factorization of 583 is 11 x 53
Prime Factorization of 667 is 23 x 29
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(669, 687) = 153201
GCD(669, 687) = ( 669 x 687 ) / 153201
GCD(669, 687) = 459603 / 153201
GCD(669, 687) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 583
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 583) = 1749
GCD(3, 583) = ( 3 x 583 ) / 1749
GCD(3, 583) = 1749 / 1749
GCD(3, 583) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 667
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 667) = 667
GCD(1, 667) = ( 1 x 667 ) / 667
GCD(1, 667) = 667 / 667
GCD(1, 667) = 1
GCD of 669, 687, 583, 667 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 669, 687, 583, 667?
GCD of 669, 687, 583, 667 is 1
2. Where do I get the detailed procedure to find GCD of 669, 687, 583, 667?
You can find a detailed procedure to find GCD of 669, 687, 583, 667 on our page.
3. How to find GCD of 669, 687, 583, 667 on a calculator?
You can find the GCD of 669, 687, 583, 667 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.