GCD of 810, 351, 428 Calculator
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 810, 351, 428 i.e. 1 largest integer that divides all the numbers equally.
GCD of 810, 351, 428 is 1
GCD(810, 351, 428) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 810, 351, 428 is 1
GCD(810, 351, 428) = 1
GCDof 810,351,428 is 1
Given Input numbers are 810, 351, 428
To find the GCD of numbers using factoring list out all the divisors of each number
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 351
List of positive integer divisors of 351 that divides 351 without a remainder.
1, 3, 9, 13, 27, 39, 117, 351
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Greatest Common Divisior
We found the divisors of 810, 351, 428 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 810, 351, 428 is 1.
Therefore, GCD of numbers 810, 351, 428 is 1
Given Input Data is 810, 351, 428
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5
Prime Factorization of 351 is 3 x 3 x 3 x 13
Prime Factorization of 428 is 2 x 2 x 107
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 810, 351, 428 using LCM Formula
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(810, 351) = 10530
GCD(810, 351) = ( 810 x 351 ) / 10530
GCD(810, 351) = 284310 / 10530
GCD(810, 351) = 27
Step2:
Here we consider the GCD from the above i.e. 27 as first number and the next as 428
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(27, 428) = 11556
GCD(27, 428) = ( 27 x 428 ) / 11556
GCD(27, 428) = 11556 / 11556
GCD(27, 428) = 1
GCD of 810, 351, 428 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 810, 351, 428
1. What is the GCD of 810, 351, 428?
GCD of 810, 351, 428 is 1
2. Where do I get the detailed procedure to find GCD of 810, 351, 428?
You can find a detailed procedure to find GCD of 810, 351, 428 on our page.
3. How to find GCD of 810, 351, 428 on a calculator?
You can find the GCD of 810, 351, 428 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.