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 445, 424, 45, 643 i.e. 1 largest integer that divides all the numbers equally.
GCD of 445, 424, 45, 643 is 1
GCD(445, 424, 45, 643) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 445, 424, 45, 643 is 1
GCD(445, 424, 45, 643) = 1
Given Input numbers are 445, 424, 45, 643
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 445
List of positive integer divisors of 445 that divides 445 without a remainder.
1, 5, 89, 445
Divisors of 424
List of positive integer divisors of 424 that divides 424 without a remainder.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
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 445, 424, 45, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 445, 424, 45, 643 is 1.
Therefore, GCD of numbers 445, 424, 45, 643 is 1
Given Input Data is 445, 424, 45, 643
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 445 is 5 x 89
Prime Factorization of 424 is 2 x 2 x 2 x 53
Prime Factorization of 45 is 3 x 3 x 5
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(445, 424) = 188680
GCD(445, 424) = ( 445 x 424 ) / 188680
GCD(445, 424) = 188680 / 188680
GCD(445, 424) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 45) = 45
GCD(1, 45) = ( 1 x 45 ) / 45
GCD(1, 45) = 45 / 45
GCD(1, 45) = 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 445, 424, 45, 643 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 445, 424, 45, 643?
GCD of 445, 424, 45, 643 is 1
2. Where do I get the detailed procedure to find GCD of 445, 424, 45, 643?
You can find a detailed procedure to find GCD of 445, 424, 45, 643 on our page.
3. How to find GCD of 445, 424, 45, 643 on a calculator?
You can find the GCD of 445, 424, 45, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.