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 218, 823, 433, 736 i.e. 1 largest integer that divides all the numbers equally.
GCD of 218, 823, 433, 736 is 1
GCD(218, 823, 433, 736) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 218, 823, 433, 736 is 1
GCD(218, 823, 433, 736) = 1
Given Input numbers are 218, 823, 433, 736
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 218
List of positive integer divisors of 218 that divides 218 without a remainder.
1, 2, 109, 218
Divisors of 823
List of positive integer divisors of 823 that divides 823 without a remainder.
1, 823
Divisors of 433
List of positive integer divisors of 433 that divides 433 without a remainder.
1, 433
Divisors of 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Greatest Common Divisior
We found the divisors of 218, 823, 433, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 218, 823, 433, 736 is 1.
Therefore, GCD of numbers 218, 823, 433, 736 is 1
Given Input Data is 218, 823, 433, 736
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 218 is 2 x 109
Prime Factorization of 823 is 823
Prime Factorization of 433 is 433
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
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(218, 823) = 179414
GCD(218, 823) = ( 218 x 823 ) / 179414
GCD(218, 823) = 179414 / 179414
GCD(218, 823) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 433
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 433) = 433
GCD(1, 433) = ( 1 x 433 ) / 433
GCD(1, 433) = 433 / 433
GCD(1, 433) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 736
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 736) = 736
GCD(1, 736) = ( 1 x 736 ) / 736
GCD(1, 736) = 736 / 736
GCD(1, 736) = 1
GCD of 218, 823, 433, 736 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 218, 823, 433, 736?
GCD of 218, 823, 433, 736 is 1
2. Where do I get the detailed procedure to find GCD of 218, 823, 433, 736?
You can find a detailed procedure to find GCD of 218, 823, 433, 736 on our page.
3. How to find GCD of 218, 823, 433, 736 on a calculator?
You can find the GCD of 218, 823, 433, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.