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 426, 446, 31, 799 i.e. 1 largest integer that divides all the numbers equally.
GCD of 426, 446, 31, 799 is 1
GCD(426, 446, 31, 799) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 426, 446, 31, 799 is 1
GCD(426, 446, 31, 799) = 1
Given Input numbers are 426, 446, 31, 799
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 446
List of positive integer divisors of 446 that divides 446 without a remainder.
1, 2, 223, 446
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 799
List of positive integer divisors of 799 that divides 799 without a remainder.
1, 17, 47, 799
Greatest Common Divisior
We found the divisors of 426, 446, 31, 799 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 446, 31, 799 is 1.
Therefore, GCD of numbers 426, 446, 31, 799 is 1
Given Input Data is 426, 446, 31, 799
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 426 is 2 x 3 x 71
Prime Factorization of 446 is 2 x 223
Prime Factorization of 31 is 31
Prime Factorization of 799 is 17 x 47
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(426, 446) = 94998
GCD(426, 446) = ( 426 x 446 ) / 94998
GCD(426, 446) = 189996 / 94998
GCD(426, 446) = 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 799
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 799) = 799
GCD(1, 799) = ( 1 x 799 ) / 799
GCD(1, 799) = 799 / 799
GCD(1, 799) = 1
GCD of 426, 446, 31, 799 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 426, 446, 31, 799?
GCD of 426, 446, 31, 799 is 1
2. Where do I get the detailed procedure to find GCD of 426, 446, 31, 799?
You can find a detailed procedure to find GCD of 426, 446, 31, 799 on our page.
3. How to find GCD of 426, 446, 31, 799 on a calculator?
You can find the GCD of 426, 446, 31, 799 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.