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 646, 810, 144, 413 i.e. 1 largest integer that divides all the numbers equally.
GCD of 646, 810, 144, 413 is 1
GCD(646, 810, 144, 413) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 646, 810, 144, 413 is 1
GCD(646, 810, 144, 413) = 1
Given Input numbers are 646, 810, 144, 413
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 646
List of positive integer divisors of 646 that divides 646 without a remainder.
1, 2, 17, 19, 34, 38, 323, 646
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 144
List of positive integer divisors of 144 that divides 144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 413
List of positive integer divisors of 413 that divides 413 without a remainder.
1, 7, 59, 413
Greatest Common Divisior
We found the divisors of 646, 810, 144, 413 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 646, 810, 144, 413 is 1.
Therefore, GCD of numbers 646, 810, 144, 413 is 1
Given Input Data is 646, 810, 144, 413
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 646 is 2 x 17 x 19
Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 413 is 7 x 59
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(646, 810) = 261630
GCD(646, 810) = ( 646 x 810 ) / 261630
GCD(646, 810) = 523260 / 261630
GCD(646, 810) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 144
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 144) = 144
GCD(2, 144) = ( 2 x 144 ) / 144
GCD(2, 144) = 288 / 144
GCD(2, 144) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 413
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 413) = 826
GCD(2, 413) = ( 2 x 413 ) / 826
GCD(2, 413) = 826 / 826
GCD(2, 413) = 1
GCD of 646, 810, 144, 413 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 646, 810, 144, 413?
GCD of 646, 810, 144, 413 is 1
2. Where do I get the detailed procedure to find GCD of 646, 810, 144, 413?
You can find a detailed procedure to find GCD of 646, 810, 144, 413 on our page.
3. How to find GCD of 646, 810, 144, 413 on a calculator?
You can find the GCD of 646, 810, 144, 413 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.