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 842, 715, 450, 605 i.e. 1 largest integer that divides all the numbers equally.
GCD of 842, 715, 450, 605 is 1
GCD(842, 715, 450, 605) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 842, 715, 450, 605 is 1
GCD(842, 715, 450, 605) = 1
Given Input numbers are 842, 715, 450, 605
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 842
List of positive integer divisors of 842 that divides 842 without a remainder.
1, 2, 421, 842
Divisors of 715
List of positive integer divisors of 715 that divides 715 without a remainder.
1, 5, 11, 13, 55, 65, 143, 715
Divisors of 450
List of positive integer divisors of 450 that divides 450 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 605
List of positive integer divisors of 605 that divides 605 without a remainder.
1, 5, 11, 55, 121, 605
Greatest Common Divisior
We found the divisors of 842, 715, 450, 605 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 842, 715, 450, 605 is 1.
Therefore, GCD of numbers 842, 715, 450, 605 is 1
Given Input Data is 842, 715, 450, 605
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 842 is 2 x 421
Prime Factorization of 715 is 5 x 11 x 13
Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5
Prime Factorization of 605 is 5 x 11 x 11
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(842, 715) = 602030
GCD(842, 715) = ( 842 x 715 ) / 602030
GCD(842, 715) = 602030 / 602030
GCD(842, 715) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 450
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 450) = 450
GCD(1, 450) = ( 1 x 450 ) / 450
GCD(1, 450) = 450 / 450
GCD(1, 450) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 605
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 605) = 605
GCD(1, 605) = ( 1 x 605 ) / 605
GCD(1, 605) = 605 / 605
GCD(1, 605) = 1
GCD of 842, 715, 450, 605 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 842, 715, 450, 605?
GCD of 842, 715, 450, 605 is 1
2. Where do I get the detailed procedure to find GCD of 842, 715, 450, 605?
You can find a detailed procedure to find GCD of 842, 715, 450, 605 on our page.
3. How to find GCD of 842, 715, 450, 605 on a calculator?
You can find the GCD of 842, 715, 450, 605 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.