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 689, 181, 12, 765 i.e. 1 largest integer that divides all the numbers equally.
GCD of 689, 181, 12, 765 is 1
GCD(689, 181, 12, 765) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 689, 181, 12, 765 is 1
GCD(689, 181, 12, 765) = 1
Given Input numbers are 689, 181, 12, 765
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 689
List of positive integer divisors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Divisors of 181
List of positive integer divisors of 181 that divides 181 without a remainder.
1, 181
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 765
List of positive integer divisors of 765 that divides 765 without a remainder.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Greatest Common Divisior
We found the divisors of 689, 181, 12, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 181, 12, 765 is 1.
Therefore, GCD of numbers 689, 181, 12, 765 is 1
Given Input Data is 689, 181, 12, 765
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 689 is 13 x 53
Prime Factorization of 181 is 181
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 765 is 3 x 3 x 5 x 17
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(689, 181) = 124709
GCD(689, 181) = ( 689 x 181 ) / 124709
GCD(689, 181) = 124709 / 124709
GCD(689, 181) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 12) = 12
GCD(1, 12) = ( 1 x 12 ) / 12
GCD(1, 12) = 12 / 12
GCD(1, 12) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 765
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 765) = 765
GCD(1, 765) = ( 1 x 765 ) / 765
GCD(1, 765) = 765 / 765
GCD(1, 765) = 1
GCD of 689, 181, 12, 765 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 689, 181, 12, 765?
GCD of 689, 181, 12, 765 is 1
2. Where do I get the detailed procedure to find GCD of 689, 181, 12, 765?
You can find a detailed procedure to find GCD of 689, 181, 12, 765 on our page.
3. How to find GCD of 689, 181, 12, 765 on a calculator?
You can find the GCD of 689, 181, 12, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.