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, 671, 56, 431 i.e. 1 largest integer that divides all the numbers equally.
GCD of 286, 671, 56, 431 is 1
GCD(286, 671, 56, 431) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 286, 671, 56, 431 is 1
GCD(286, 671, 56, 431) = 1
Given Input numbers are 286, 671, 56, 431
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 671
List of positive integer divisors of 671 that divides 671 without a remainder.
1, 11, 61, 671
Divisors of 56
List of positive integer divisors of 56 that divides 56 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56
Divisors of 431
List of positive integer divisors of 431 that divides 431 without a remainder.
1, 431
Greatest Common Divisior
We found the divisors of 286, 671, 56, 431 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 286, 671, 56, 431 is 1.
Therefore, GCD of numbers 286, 671, 56, 431 is 1
Given Input Data is 286, 671, 56, 431
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 671 is 11 x 61
Prime Factorization of 56 is 2 x 2 x 2 x 7
Prime Factorization of 431 is 431
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, 671) = 17446
GCD(286, 671) = ( 286 x 671 ) / 17446
GCD(286, 671) = 191906 / 17446
GCD(286, 671) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 56
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 56) = 616
GCD(11, 56) = ( 11 x 56 ) / 616
GCD(11, 56) = 616 / 616
GCD(11, 56) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 431
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 431) = 431
GCD(1, 431) = ( 1 x 431 ) / 431
GCD(1, 431) = 431 / 431
GCD(1, 431) = 1
GCD of 286, 671, 56, 431 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 286, 671, 56, 431?
GCD of 286, 671, 56, 431 is 1
2. Where do I get the detailed procedure to find GCD of 286, 671, 56, 431?
You can find a detailed procedure to find GCD of 286, 671, 56, 431 on our page.
3. How to find GCD of 286, 671, 56, 431 on a calculator?
You can find the GCD of 286, 671, 56, 431 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.