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 660, 577, 689 i.e. 1 largest integer that divides all the numbers equally.
GCD of 660, 577, 689 is 1
GCD(660, 577, 689) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 660, 577, 689 is 1
GCD(660, 577, 689) = 1
Given Input numbers are 660, 577, 689
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 577
List of positive integer divisors of 577 that divides 577 without a remainder.
1, 577
Divisors of 689
List of positive integer divisors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Greatest Common Divisior
We found the divisors of 660, 577, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 577, 689 is 1.
Therefore, GCD of numbers 660, 577, 689 is 1
Given Input Data is 660, 577, 689
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
Prime Factorization of 577 is 577
Prime Factorization of 689 is 13 x 53
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(660, 577) = 380820
GCD(660, 577) = ( 660 x 577 ) / 380820
GCD(660, 577) = 380820 / 380820
GCD(660, 577) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 689
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 689) = 689
GCD(1, 689) = ( 1 x 689 ) / 689
GCD(1, 689) = 689 / 689
GCD(1, 689) = 1
GCD of 660, 577, 689 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 660, 577, 689?
GCD of 660, 577, 689 is 1
2. Where do I get the detailed procedure to find GCD of 660, 577, 689?
You can find a detailed procedure to find GCD of 660, 577, 689 on our page.
3. How to find GCD of 660, 577, 689 on a calculator?
You can find the GCD of 660, 577, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.