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, 682, 643, 463 i.e. 1 largest integer that divides all the numbers equally.
GCD of 689, 682, 643, 463 is 1
GCD(689, 682, 643, 463) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 689, 682, 643, 463 is 1
GCD(689, 682, 643, 463) = 1
Given Input numbers are 689, 682, 643, 463
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 682
List of positive integer divisors of 682 that divides 682 without a remainder.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 643
List of positive integer divisors of 643 that divides 643 without a remainder.
1, 643
Divisors of 463
List of positive integer divisors of 463 that divides 463 without a remainder.
1, 463
Greatest Common Divisior
We found the divisors of 689, 682, 643, 463 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 682, 643, 463 is 1.
Therefore, GCD of numbers 689, 682, 643, 463 is 1
Given Input Data is 689, 682, 643, 463
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 689 is 13 x 53
Prime Factorization of 682 is 2 x 11 x 31
Prime Factorization of 643 is 643
Prime Factorization of 463 is 463
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, 682) = 469898
GCD(689, 682) = ( 689 x 682 ) / 469898
GCD(689, 682) = 469898 / 469898
GCD(689, 682) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 463
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 463) = 463
GCD(1, 463) = ( 1 x 463 ) / 463
GCD(1, 463) = 463 / 463
GCD(1, 463) = 1
GCD of 689, 682, 643, 463 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 689, 682, 643, 463?
GCD of 689, 682, 643, 463 is 1
2. Where do I get the detailed procedure to find GCD of 689, 682, 643, 463?
You can find a detailed procedure to find GCD of 689, 682, 643, 463 on our page.
3. How to find GCD of 689, 682, 643, 463 on a calculator?
You can find the GCD of 689, 682, 643, 463 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.