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 243, 178, 862, 396 i.e. 1 largest integer that divides all the numbers equally.
GCD of 243, 178, 862, 396 is 1
GCD(243, 178, 862, 396) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 243, 178, 862, 396 is 1
GCD(243, 178, 862, 396) = 1
Given Input numbers are 243, 178, 862, 396
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Divisors of 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Divisors of 862
List of positive integer divisors of 862 that divides 862 without a remainder.
1, 2, 431, 862
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Greatest Common Divisior
We found the divisors of 243, 178, 862, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 243, 178, 862, 396 is 1.
Therefore, GCD of numbers 243, 178, 862, 396 is 1
Given Input Data is 243, 178, 862, 396
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3
Prime Factorization of 178 is 2 x 89
Prime Factorization of 862 is 2 x 431
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
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(243, 178) = 43254
GCD(243, 178) = ( 243 x 178 ) / 43254
GCD(243, 178) = 43254 / 43254
GCD(243, 178) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 862
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 862) = 862
GCD(1, 862) = ( 1 x 862 ) / 862
GCD(1, 862) = 862 / 862
GCD(1, 862) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 396
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 396) = 396
GCD(1, 396) = ( 1 x 396 ) / 396
GCD(1, 396) = 396 / 396
GCD(1, 396) = 1
GCD of 243, 178, 862, 396 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 243, 178, 862, 396?
GCD of 243, 178, 862, 396 is 1
2. Where do I get the detailed procedure to find GCD of 243, 178, 862, 396?
You can find a detailed procedure to find GCD of 243, 178, 862, 396 on our page.
3. How to find GCD of 243, 178, 862, 396 on a calculator?
You can find the GCD of 243, 178, 862, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.