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 34, 845, 402, 810 i.e. 1 largest integer that divides all the numbers equally.
GCD of 34, 845, 402, 810 is 1
GCD(34, 845, 402, 810) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 34, 845, 402, 810 is 1
GCD(34, 845, 402, 810) = 1
Given Input numbers are 34, 845, 402, 810
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 34
List of positive integer divisors of 34 that divides 34 without a remainder.
1, 2, 17, 34
Divisors of 845
List of positive integer divisors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
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
Greatest Common Divisior
We found the divisors of 34, 845, 402, 810 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 845, 402, 810 is 1.
Therefore, GCD of numbers 34, 845, 402, 810 is 1
Given Input Data is 34, 845, 402, 810
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 34 is 2 x 17
Prime Factorization of 845 is 5 x 13 x 13
Prime Factorization of 402 is 2 x 3 x 67
Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5
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(34, 845) = 28730
GCD(34, 845) = ( 34 x 845 ) / 28730
GCD(34, 845) = 28730 / 28730
GCD(34, 845) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 402
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 402) = 402
GCD(1, 402) = ( 1 x 402 ) / 402
GCD(1, 402) = 402 / 402
GCD(1, 402) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 810
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 810) = 810
GCD(1, 810) = ( 1 x 810 ) / 810
GCD(1, 810) = 810 / 810
GCD(1, 810) = 1
GCD of 34, 845, 402, 810 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 34, 845, 402, 810?
GCD of 34, 845, 402, 810 is 1
2. Where do I get the detailed procedure to find GCD of 34, 845, 402, 810?
You can find a detailed procedure to find GCD of 34, 845, 402, 810 on our page.
3. How to find GCD of 34, 845, 402, 810 on a calculator?
You can find the GCD of 34, 845, 402, 810 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.