GCD of 916, 428, 809 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 916, 428, 809 i.e. 1 largest integer that divides all the numbers equally.
GCD of 916, 428, 809 is 1
GCD(916, 428, 809) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 916, 428, 809 is 1
GCD(916, 428, 809) = 1
GCDof 916,428,809 is 1
Given Input numbers are 916, 428, 809
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 916
List of positive integer divisors of 916 that divides 916 without a remainder.
1, 2, 4, 229, 458, 916
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 809
List of positive integer divisors of 809 that divides 809 without a remainder.
1, 809
Greatest Common Divisior
We found the divisors of 916, 428, 809 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 428, 809 is 1.
Therefore, GCD of numbers 916, 428, 809 is 1
Given Input Data is 916, 428, 809
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 916 is 2 x 2 x 229
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 809 is 809
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 916, 428, 809 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(916, 428) = 98012
GCD(916, 428) = ( 916 x 428 ) / 98012
GCD(916, 428) = 392048 / 98012
GCD(916, 428) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 809
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 809) = 3236
GCD(4, 809) = ( 4 x 809 ) / 3236
GCD(4, 809) = 3236 / 3236
GCD(4, 809) = 1
GCD of 916, 428, 809 is 1
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FAQs on GCD of numbers 916, 428, 809
1. What is the GCD of 916, 428, 809?
GCD of 916, 428, 809 is 1
2. Where do I get the detailed procedure to find GCD of 916, 428, 809?
You can find a detailed procedure to find GCD of 916, 428, 809 on our page.
3. How to find GCD of 916, 428, 809 on a calculator?
You can find the GCD of 916, 428, 809 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.