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 286, 431, 842, 114 i.e. 1 largest integer that divides all the numbers equally.
GCD of 286, 431, 842, 114 is 1
GCD(286, 431, 842, 114) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 286, 431, 842, 114 is 1
GCD(286, 431, 842, 114) = 1
Given Input numbers are 286, 431, 842, 114
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 286
List of positive integer divisors of 286 that divides 286 without a remainder.
1, 2, 11, 13, 22, 26, 143, 286
Divisors of 431
List of positive integer divisors of 431 that divides 431 without a remainder.
1, 431
Divisors of 842
List of positive integer divisors of 842 that divides 842 without a remainder.
1, 2, 421, 842
Divisors of 114
List of positive integer divisors of 114 that divides 114 without a remainder.
1, 2, 3, 6, 19, 38, 57, 114
Greatest Common Divisior
We found the divisors of 286, 431, 842, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 286, 431, 842, 114 is 1.
Therefore, GCD of numbers 286, 431, 842, 114 is 1
Given Input Data is 286, 431, 842, 114
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 286 is 2 x 11 x 13
Prime Factorization of 431 is 431
Prime Factorization of 842 is 2 x 421
Prime Factorization of 114 is 2 x 3 x 19
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(286, 431) = 123266
GCD(286, 431) = ( 286 x 431 ) / 123266
GCD(286, 431) = 123266 / 123266
GCD(286, 431) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 842
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 842) = 842
GCD(1, 842) = ( 1 x 842 ) / 842
GCD(1, 842) = 842 / 842
GCD(1, 842) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 114
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 114) = 114
GCD(1, 114) = ( 1 x 114 ) / 114
GCD(1, 114) = 114 / 114
GCD(1, 114) = 1
GCD of 286, 431, 842, 114 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 286, 431, 842, 114?
GCD of 286, 431, 842, 114 is 1
2. Where do I get the detailed procedure to find GCD of 286, 431, 842, 114?
You can find a detailed procedure to find GCD of 286, 431, 842, 114 on our page.
3. How to find GCD of 286, 431, 842, 114 on a calculator?
You can find the GCD of 286, 431, 842, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.