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 37, 842, 415, 859 i.e. 1 largest integer that divides all the numbers equally.
GCD of 37, 842, 415, 859 is 1
GCD(37, 842, 415, 859) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 37, 842, 415, 859 is 1
GCD(37, 842, 415, 859) = 1
Given Input numbers are 37, 842, 415, 859
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 37
List of positive integer divisors of 37 that divides 37 without a remainder.
1, 37
Divisors of 842
List of positive integer divisors of 842 that divides 842 without a remainder.
1, 2, 421, 842
Divisors of 415
List of positive integer divisors of 415 that divides 415 without a remainder.
1, 5, 83, 415
Divisors of 859
List of positive integer divisors of 859 that divides 859 without a remainder.
1, 859
Greatest Common Divisior
We found the divisors of 37, 842, 415, 859 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 842, 415, 859 is 1.
Therefore, GCD of numbers 37, 842, 415, 859 is 1
Given Input Data is 37, 842, 415, 859
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 37 is 37
Prime Factorization of 842 is 2 x 421
Prime Factorization of 415 is 5 x 83
Prime Factorization of 859 is 859
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(37, 842) = 31154
GCD(37, 842) = ( 37 x 842 ) / 31154
GCD(37, 842) = 31154 / 31154
GCD(37, 842) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 415
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 415) = 415
GCD(1, 415) = ( 1 x 415 ) / 415
GCD(1, 415) = 415 / 415
GCD(1, 415) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 859
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 859) = 859
GCD(1, 859) = ( 1 x 859 ) / 859
GCD(1, 859) = 859 / 859
GCD(1, 859) = 1
GCD of 37, 842, 415, 859 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 37, 842, 415, 859?
GCD of 37, 842, 415, 859 is 1
2. Where do I get the detailed procedure to find GCD of 37, 842, 415, 859?
You can find a detailed procedure to find GCD of 37, 842, 415, 859 on our page.
3. How to find GCD of 37, 842, 415, 859 on a calculator?
You can find the GCD of 37, 842, 415, 859 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.