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, 245, 12, 586 i.e. 1 largest integer that divides all the numbers equally.
GCD of 643, 245, 12, 586 is 1
GCD(643, 245, 12, 586) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 643, 245, 12, 586 is 1
GCD(643, 245, 12, 586) = 1
Given Input numbers are 643, 245, 12, 586
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 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 586
List of positive integer divisors of 586 that divides 586 without a remainder.
1, 2, 293, 586
Greatest Common Divisior
We found the divisors of 643, 245, 12, 586 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 643, 245, 12, 586 is 1.
Therefore, GCD of numbers 643, 245, 12, 586 is 1
Given Input Data is 643, 245, 12, 586
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 643 is 643
Prime Factorization of 245 is 5 x 7 x 7
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 586 is 2 x 293
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, 245) = 157535
GCD(643, 245) = ( 643 x 245 ) / 157535
GCD(643, 245) = 157535 / 157535
GCD(643, 245) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 12) = 12
GCD(1, 12) = ( 1 x 12 ) / 12
GCD(1, 12) = 12 / 12
GCD(1, 12) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 586
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 586) = 586
GCD(1, 586) = ( 1 x 586 ) / 586
GCD(1, 586) = 586 / 586
GCD(1, 586) = 1
GCD of 643, 245, 12, 586 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 643, 245, 12, 586?
GCD of 643, 245, 12, 586 is 1
2. Where do I get the detailed procedure to find GCD of 643, 245, 12, 586?
You can find a detailed procedure to find GCD of 643, 245, 12, 586 on our page.
3. How to find GCD of 643, 245, 12, 586 on a calculator?
You can find the GCD of 643, 245, 12, 586 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.