GCD of 567, 114, 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 567, 114, 809 i.e. 1 largest integer that divides all the numbers equally.
GCD of 567, 114, 809 is 1
GCD(567, 114, 809) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 567, 114, 809 is 1
GCD(567, 114, 809) = 1
GCDof 567,114,809 is 1
Given Input numbers are 567, 114, 809
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 567
List of positive integer divisors of 567 that divides 567 without a remainder.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 114
List of positive integer divisors of 114 that divides 114 without a remainder.
1, 2, 3, 6, 19, 38, 57, 114
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 567, 114, 809 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 567, 114, 809 is 1.
Therefore, GCD of numbers 567, 114, 809 is 1
Given Input Data is 567, 114, 809
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7
Prime Factorization of 114 is 2 x 3 x 19
Prime Factorization of 809 is 809
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 567, 114, 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(567, 114) = 21546
GCD(567, 114) = ( 567 x 114 ) / 21546
GCD(567, 114) = 64638 / 21546
GCD(567, 114) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 809
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 809) = 2427
GCD(3, 809) = ( 3 x 809 ) / 2427
GCD(3, 809) = 2427 / 2427
GCD(3, 809) = 1
GCD of 567, 114, 809 is 1
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FAQs on GCD of numbers 567, 114, 809
1. What is the GCD of 567, 114, 809?
GCD of 567, 114, 809 is 1
2. Where do I get the detailed procedure to find GCD of 567, 114, 809?
You can find a detailed procedure to find GCD of 567, 114, 809 on our page.
3. How to find GCD of 567, 114, 809 on a calculator?
You can find the GCD of 567, 114, 809 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.