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, 457, 955, 643 i.e. 1 largest integer that divides all the numbers equally.
GCD of 689, 457, 955, 643 is 1
GCD(689, 457, 955, 643) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 689, 457, 955, 643 is 1
GCD(689, 457, 955, 643) = 1
Given Input numbers are 689, 457, 955, 643
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 457
List of positive integer divisors of 457 that divides 457 without a remainder.
1, 457
Divisors of 955
List of positive integer divisors of 955 that divides 955 without a remainder.
1, 5, 191, 955
Divisors of 643
List of positive integer divisors of 643 that divides 643 without a remainder.
1, 643
Greatest Common Divisior
We found the divisors of 689, 457, 955, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 457, 955, 643 is 1.
Therefore, GCD of numbers 689, 457, 955, 643 is 1
Given Input Data is 689, 457, 955, 643
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 689 is 13 x 53
Prime Factorization of 457 is 457
Prime Factorization of 955 is 5 x 191
Prime Factorization of 643 is 643
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, 457) = 314873
GCD(689, 457) = ( 689 x 457 ) / 314873
GCD(689, 457) = 314873 / 314873
GCD(689, 457) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 955
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 955) = 955
GCD(1, 955) = ( 1 x 955 ) / 955
GCD(1, 955) = 955 / 955
GCD(1, 955) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 643
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 643) = 643
GCD(1, 643) = ( 1 x 643 ) / 643
GCD(1, 643) = 643 / 643
GCD(1, 643) = 1
GCD of 689, 457, 955, 643 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 689, 457, 955, 643?
GCD of 689, 457, 955, 643 is 1
2. Where do I get the detailed procedure to find GCD of 689, 457, 955, 643?
You can find a detailed procedure to find GCD of 689, 457, 955, 643 on our page.
3. How to find GCD of 689, 457, 955, 643 on a calculator?
You can find the GCD of 689, 457, 955, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.