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 432, 223, 155, 906 i.e. 1 largest integer that divides all the numbers equally.
GCD of 432, 223, 155, 906 is 1
GCD(432, 223, 155, 906) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 432, 223, 155, 906 is 1
GCD(432, 223, 155, 906) = 1
Given Input numbers are 432, 223, 155, 906
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 432
List of positive integer divisors of 432 that divides 432 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 223
List of positive integer divisors of 223 that divides 223 without a remainder.
1, 223
Divisors of 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Divisors of 906
List of positive integer divisors of 906 that divides 906 without a remainder.
1, 2, 3, 6, 151, 302, 453, 906
Greatest Common Divisior
We found the divisors of 432, 223, 155, 906 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 223, 155, 906 is 1.
Therefore, GCD of numbers 432, 223, 155, 906 is 1
Given Input Data is 432, 223, 155, 906
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 223 is 223
Prime Factorization of 155 is 5 x 31
Prime Factorization of 906 is 2 x 3 x 151
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(432, 223) = 96336
GCD(432, 223) = ( 432 x 223 ) / 96336
GCD(432, 223) = 96336 / 96336
GCD(432, 223) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 155
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 155) = 155
GCD(1, 155) = ( 1 x 155 ) / 155
GCD(1, 155) = 155 / 155
GCD(1, 155) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 906
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 906) = 906
GCD(1, 906) = ( 1 x 906 ) / 906
GCD(1, 906) = 906 / 906
GCD(1, 906) = 1
GCD of 432, 223, 155, 906 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 432, 223, 155, 906?
GCD of 432, 223, 155, 906 is 1
2. Where do I get the detailed procedure to find GCD of 432, 223, 155, 906?
You can find a detailed procedure to find GCD of 432, 223, 155, 906 on our page.
3. How to find GCD of 432, 223, 155, 906 on a calculator?
You can find the GCD of 432, 223, 155, 906 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.