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 424, 649, 27, 431 i.e. 1 largest integer that divides all the numbers equally.
GCD of 424, 649, 27, 431 is 1
GCD(424, 649, 27, 431) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 424, 649, 27, 431 is 1
GCD(424, 649, 27, 431) = 1
Given Input numbers are 424, 649, 27, 431
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 424
List of positive integer divisors of 424 that divides 424 without a remainder.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 649
List of positive integer divisors of 649 that divides 649 without a remainder.
1, 11, 59, 649
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
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 424, 649, 27, 431 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 649, 27, 431 is 1.
Therefore, GCD of numbers 424, 649, 27, 431 is 1
Given Input Data is 424, 649, 27, 431
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 424 is 2 x 2 x 2 x 53
Prime Factorization of 649 is 11 x 59
Prime Factorization of 27 is 3 x 3 x 3
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(424, 649) = 275176
GCD(424, 649) = ( 424 x 649 ) / 275176
GCD(424, 649) = 275176 / 275176
GCD(424, 649) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 27) = 27
GCD(1, 27) = ( 1 x 27 ) / 27
GCD(1, 27) = 27 / 27
GCD(1, 27) = 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 424, 649, 27, 431 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 424, 649, 27, 431?
GCD of 424, 649, 27, 431 is 1
2. Where do I get the detailed procedure to find GCD of 424, 649, 27, 431?
You can find a detailed procedure to find GCD of 424, 649, 27, 431 on our page.
3. How to find GCD of 424, 649, 27, 431 on a calculator?
You can find the GCD of 424, 649, 27, 431 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.