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, 381, 31 i.e. 1 largest integer that divides all the numbers equally.
GCD of 643, 381, 31 is 1
GCD(643, 381, 31) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 643, 381, 31 is 1
GCD(643, 381, 31) = 1
Given Input numbers are 643, 381, 31
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 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Greatest Common Divisior
We found the divisors of 643, 381, 31 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 643, 381, 31 is 1.
Therefore, GCD of numbers 643, 381, 31 is 1
Given Input Data is 643, 381, 31
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 643 is 643
Prime Factorization of 381 is 3 x 127
Prime Factorization of 31 is 31
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, 381) = 244983
GCD(643, 381) = ( 643 x 381 ) / 244983
GCD(643, 381) = 244983 / 244983
GCD(643, 381) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 31) = 31
GCD(1, 31) = ( 1 x 31 ) / 31
GCD(1, 31) = 31 / 31
GCD(1, 31) = 1
GCD of 643, 381, 31 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 643, 381, 31?
GCD of 643, 381, 31 is 1
2. Where do I get the detailed procedure to find GCD of 643, 381, 31?
You can find a detailed procedure to find GCD of 643, 381, 31 on our page.
3. How to find GCD of 643, 381, 31 on a calculator?
You can find the GCD of 643, 381, 31 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.