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, 653, 191, 120 i.e. 1 largest integer that divides all the numbers equally.
GCD of 689, 653, 191, 120 is 1
GCD(689, 653, 191, 120) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 689, 653, 191, 120 is 1
GCD(689, 653, 191, 120) = 1
Given Input numbers are 689, 653, 191, 120
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 653
List of positive integer divisors of 653 that divides 653 without a remainder.
1, 653
Divisors of 191
List of positive integer divisors of 191 that divides 191 without a remainder.
1, 191
Divisors of 120
List of positive integer divisors of 120 that divides 120 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Greatest Common Divisior
We found the divisors of 689, 653, 191, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 653, 191, 120 is 1.
Therefore, GCD of numbers 689, 653, 191, 120 is 1
Given Input Data is 689, 653, 191, 120
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 689 is 13 x 53
Prime Factorization of 653 is 653
Prime Factorization of 191 is 191
Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5
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, 653) = 449917
GCD(689, 653) = ( 689 x 653 ) / 449917
GCD(689, 653) = 449917 / 449917
GCD(689, 653) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 191
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 191) = 191
GCD(1, 191) = ( 1 x 191 ) / 191
GCD(1, 191) = 191 / 191
GCD(1, 191) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 120
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 120) = 120
GCD(1, 120) = ( 1 x 120 ) / 120
GCD(1, 120) = 120 / 120
GCD(1, 120) = 1
GCD of 689, 653, 191, 120 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 689, 653, 191, 120?
GCD of 689, 653, 191, 120 is 1
2. Where do I get the detailed procedure to find GCD of 689, 653, 191, 120?
You can find a detailed procedure to find GCD of 689, 653, 191, 120 on our page.
3. How to find GCD of 689, 653, 191, 120 on a calculator?
You can find the GCD of 689, 653, 191, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.