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 106, 426, 423, 301 i.e. 1 largest integer that divides all the numbers equally.
GCD of 106, 426, 423, 301 is 1
GCD(106, 426, 423, 301) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 106, 426, 423, 301 is 1
GCD(106, 426, 423, 301) = 1
Given Input numbers are 106, 426, 423, 301
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 106
List of positive integer divisors of 106 that divides 106 without a remainder.
1, 2, 53, 106
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 423
List of positive integer divisors of 423 that divides 423 without a remainder.
1, 3, 9, 47, 141, 423
Divisors of 301
List of positive integer divisors of 301 that divides 301 without a remainder.
1, 7, 43, 301
Greatest Common Divisior
We found the divisors of 106, 426, 423, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 426, 423, 301 is 1.
Therefore, GCD of numbers 106, 426, 423, 301 is 1
Given Input Data is 106, 426, 423, 301
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 106 is 2 x 53
Prime Factorization of 426 is 2 x 3 x 71
Prime Factorization of 423 is 3 x 3 x 47
Prime Factorization of 301 is 7 x 43
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(106, 426) = 22578
GCD(106, 426) = ( 106 x 426 ) / 22578
GCD(106, 426) = 45156 / 22578
GCD(106, 426) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 423
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 423) = 846
GCD(2, 423) = ( 2 x 423 ) / 846
GCD(2, 423) = 846 / 846
GCD(2, 423) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 301
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 301) = 301
GCD(1, 301) = ( 1 x 301 ) / 301
GCD(1, 301) = 301 / 301
GCD(1, 301) = 1
GCD of 106, 426, 423, 301 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 106, 426, 423, 301?
GCD of 106, 426, 423, 301 is 1
2. Where do I get the detailed procedure to find GCD of 106, 426, 423, 301?
You can find a detailed procedure to find GCD of 106, 426, 423, 301 on our page.
3. How to find GCD of 106, 426, 423, 301 on a calculator?
You can find the GCD of 106, 426, 423, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.