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 301, 810, 96, 106 i.e. 1 largest integer that divides all the numbers equally.
GCD of 301, 810, 96, 106 is 1
GCD(301, 810, 96, 106) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 301, 810, 96, 106 is 1
GCD(301, 810, 96, 106) = 1
Given Input numbers are 301, 810, 96, 106
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 301
List of positive integer divisors of 301 that divides 301 without a remainder.
1, 7, 43, 301
Divisors of 810
List of positive integer divisors of 810 that divides 810 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 106
List of positive integer divisors of 106 that divides 106 without a remainder.
1, 2, 53, 106
Greatest Common Divisior
We found the divisors of 301, 810, 96, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 301, 810, 96, 106 is 1.
Therefore, GCD of numbers 301, 810, 96, 106 is 1
Given Input Data is 301, 810, 96, 106
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 301 is 7 x 43
Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 106 is 2 x 53
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(301, 810) = 243810
GCD(301, 810) = ( 301 x 810 ) / 243810
GCD(301, 810) = 243810 / 243810
GCD(301, 810) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 96) = 96
GCD(1, 96) = ( 1 x 96 ) / 96
GCD(1, 96) = 96 / 96
GCD(1, 96) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 106
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 106) = 106
GCD(1, 106) = ( 1 x 106 ) / 106
GCD(1, 106) = 106 / 106
GCD(1, 106) = 1
GCD of 301, 810, 96, 106 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 301, 810, 96, 106?
GCD of 301, 810, 96, 106 is 1
2. Where do I get the detailed procedure to find GCD of 301, 810, 96, 106?
You can find a detailed procedure to find GCD of 301, 810, 96, 106 on our page.
3. How to find GCD of 301, 810, 96, 106 on a calculator?
You can find the GCD of 301, 810, 96, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.