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, 886, 31, 137 i.e. 1 largest integer that divides all the numbers equally.
GCD of 842, 886, 31, 137 is 1
GCD(842, 886, 31, 137) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 842, 886, 31, 137 is 1
GCD(842, 886, 31, 137) = 1
Given Input numbers are 842, 886, 31, 137
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 886
List of positive integer divisors of 886 that divides 886 without a remainder.
1, 2, 443, 886
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Greatest Common Divisior
We found the divisors of 842, 886, 31, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 842, 886, 31, 137 is 1.
Therefore, GCD of numbers 842, 886, 31, 137 is 1
Given Input Data is 842, 886, 31, 137
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 842 is 2 x 421
Prime Factorization of 886 is 2 x 443
Prime Factorization of 31 is 31
Prime Factorization of 137 is 137
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, 886) = 373006
GCD(842, 886) = ( 842 x 886 ) / 373006
GCD(842, 886) = 746012 / 373006
GCD(842, 886) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 31) = 62
GCD(2, 31) = ( 2 x 31 ) / 62
GCD(2, 31) = 62 / 62
GCD(2, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 137
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 137) = 137
GCD(1, 137) = ( 1 x 137 ) / 137
GCD(1, 137) = 137 / 137
GCD(1, 137) = 1
GCD of 842, 886, 31, 137 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 842, 886, 31, 137?
GCD of 842, 886, 31, 137 is 1
2. Where do I get the detailed procedure to find GCD of 842, 886, 31, 137?
You can find a detailed procedure to find GCD of 842, 886, 31, 137 on our page.
3. How to find GCD of 842, 886, 31, 137 on a calculator?
You can find the GCD of 842, 886, 31, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.