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, 505, 13, 615 i.e. 1 largest integer that divides all the numbers equally.
GCD of 842, 505, 13, 615 is 1
GCD(842, 505, 13, 615) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 842, 505, 13, 615 is 1
GCD(842, 505, 13, 615) = 1
Given Input numbers are 842, 505, 13, 615
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 505
List of positive integer divisors of 505 that divides 505 without a remainder.
1, 5, 101, 505
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 615
List of positive integer divisors of 615 that divides 615 without a remainder.
1, 3, 5, 15, 41, 123, 205, 615
Greatest Common Divisior
We found the divisors of 842, 505, 13, 615 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 842, 505, 13, 615 is 1.
Therefore, GCD of numbers 842, 505, 13, 615 is 1
Given Input Data is 842, 505, 13, 615
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 842 is 2 x 421
Prime Factorization of 505 is 5 x 101
Prime Factorization of 13 is 13
Prime Factorization of 615 is 3 x 5 x 41
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, 505) = 425210
GCD(842, 505) = ( 842 x 505 ) / 425210
GCD(842, 505) = 425210 / 425210
GCD(842, 505) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 13) = 13
GCD(1, 13) = ( 1 x 13 ) / 13
GCD(1, 13) = 13 / 13
GCD(1, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 615
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 615) = 615
GCD(1, 615) = ( 1 x 615 ) / 615
GCD(1, 615) = 615 / 615
GCD(1, 615) = 1
GCD of 842, 505, 13, 615 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 842, 505, 13, 615?
GCD of 842, 505, 13, 615 is 1
2. Where do I get the detailed procedure to find GCD of 842, 505, 13, 615?
You can find a detailed procedure to find GCD of 842, 505, 13, 615 on our page.
3. How to find GCD of 842, 505, 13, 615 on a calculator?
You can find the GCD of 842, 505, 13, 615 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.