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 643, 721, 67, 468 i.e. 1 largest integer that divides all the numbers equally.
GCD of 643, 721, 67, 468 is 1
GCD(643, 721, 67, 468) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 643, 721, 67, 468 is 1
GCD(643, 721, 67, 468) = 1
Given Input numbers are 643, 721, 67, 468
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 643
List of positive integer divisors of 643 that divides 643 without a remainder.
1, 643
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Greatest Common Divisior
We found the divisors of 643, 721, 67, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 643, 721, 67, 468 is 1.
Therefore, GCD of numbers 643, 721, 67, 468 is 1
Given Input Data is 643, 721, 67, 468
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 643 is 643
Prime Factorization of 721 is 7 x 103
Prime Factorization of 67 is 67
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
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(643, 721) = 463603
GCD(643, 721) = ( 643 x 721 ) / 463603
GCD(643, 721) = 463603 / 463603
GCD(643, 721) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 67) = 67
GCD(1, 67) = ( 1 x 67 ) / 67
GCD(1, 67) = 67 / 67
GCD(1, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 468
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 468) = 468
GCD(1, 468) = ( 1 x 468 ) / 468
GCD(1, 468) = 468 / 468
GCD(1, 468) = 1
GCD of 643, 721, 67, 468 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 643, 721, 67, 468?
GCD of 643, 721, 67, 468 is 1
2. Where do I get the detailed procedure to find GCD of 643, 721, 67, 468?
You can find a detailed procedure to find GCD of 643, 721, 67, 468 on our page.
3. How to find GCD of 643, 721, 67, 468 on a calculator?
You can find the GCD of 643, 721, 67, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.