GCD of 823, 654, 66 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 823, 654, 66 i.e. 1 largest integer that divides all the numbers equally.
GCD of 823, 654, 66 is 1
GCD(823, 654, 66) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 823, 654, 66 is 1
GCD(823, 654, 66) = 1
GCDof 823,654,66 is 1
Given Input numbers are 823, 654, 66
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 823
List of positive integer divisors of 823 that divides 823 without a remainder.
1, 823
Divisors of 654
List of positive integer divisors of 654 that divides 654 without a remainder.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Greatest Common Divisior
We found the divisors of 823, 654, 66 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 823, 654, 66 is 1.
Therefore, GCD of numbers 823, 654, 66 is 1
Given Input Data is 823, 654, 66
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 823 is 823
Prime Factorization of 654 is 2 x 3 x 109
Prime Factorization of 66 is 2 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 823, 654, 66 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(823, 654) = 538242
GCD(823, 654) = ( 823 x 654 ) / 538242
GCD(823, 654) = 538242 / 538242
GCD(823, 654) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 66) = 66
GCD(1, 66) = ( 1 x 66 ) / 66
GCD(1, 66) = 66 / 66
GCD(1, 66) = 1
GCD of 823, 654, 66 is 1
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FAQs on GCD of numbers 823, 654, 66
1. What is the GCD of 823, 654, 66?
GCD of 823, 654, 66 is 1
2. Where do I get the detailed procedure to find GCD of 823, 654, 66?
You can find a detailed procedure to find GCD of 823, 654, 66 on our page.
3. How to find GCD of 823, 654, 66 on a calculator?
You can find the GCD of 823, 654, 66 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
