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 126, 431, 335, 305 i.e. 1 largest integer that divides all the numbers equally.
GCD of 126, 431, 335, 305 is 1
GCD(126, 431, 335, 305) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 126, 431, 335, 305 is 1
GCD(126, 431, 335, 305) = 1
Given Input numbers are 126, 431, 335, 305
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 431
List of positive integer divisors of 431 that divides 431 without a remainder.
1, 431
Divisors of 335
List of positive integer divisors of 335 that divides 335 without a remainder.
1, 5, 67, 335
Divisors of 305
List of positive integer divisors of 305 that divides 305 without a remainder.
1, 5, 61, 305
Greatest Common Divisior
We found the divisors of 126, 431, 335, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 431, 335, 305 is 1.
Therefore, GCD of numbers 126, 431, 335, 305 is 1
Given Input Data is 126, 431, 335, 305
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 126 is 2 x 3 x 3 x 7
Prime Factorization of 431 is 431
Prime Factorization of 335 is 5 x 67
Prime Factorization of 305 is 5 x 61
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(126, 431) = 54306
GCD(126, 431) = ( 126 x 431 ) / 54306
GCD(126, 431) = 54306 / 54306
GCD(126, 431) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 335
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 335) = 335
GCD(1, 335) = ( 1 x 335 ) / 335
GCD(1, 335) = 335 / 335
GCD(1, 335) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 305
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 305) = 305
GCD(1, 305) = ( 1 x 305 ) / 305
GCD(1, 305) = 305 / 305
GCD(1, 305) = 1
GCD of 126, 431, 335, 305 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 126, 431, 335, 305?
GCD of 126, 431, 335, 305 is 1
2. Where do I get the detailed procedure to find GCD of 126, 431, 335, 305?
You can find a detailed procedure to find GCD of 126, 431, 335, 305 on our page.
3. How to find GCD of 126, 431, 335, 305 on a calculator?
You can find the GCD of 126, 431, 335, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.