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, 841, 149, 555 i.e. 1 largest integer that divides all the numbers equally.
GCD of 432, 841, 149, 555 is 1
GCD(432, 841, 149, 555) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 432, 841, 149, 555 is 1
GCD(432, 841, 149, 555) = 1
Given Input numbers are 432, 841, 149, 555
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 841
List of positive integer divisors of 841 that divides 841 without a remainder.
1, 29, 841
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Divisors of 555
List of positive integer divisors of 555 that divides 555 without a remainder.
1, 3, 5, 15, 37, 111, 185, 555
Greatest Common Divisior
We found the divisors of 432, 841, 149, 555 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 841, 149, 555 is 1.
Therefore, GCD of numbers 432, 841, 149, 555 is 1
Given Input Data is 432, 841, 149, 555
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 841 is 29 x 29
Prime Factorization of 149 is 149
Prime Factorization of 555 is 3 x 5 x 37
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, 841) = 363312
GCD(432, 841) = ( 432 x 841 ) / 363312
GCD(432, 841) = 363312 / 363312
GCD(432, 841) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 149
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 149) = 149
GCD(1, 149) = ( 1 x 149 ) / 149
GCD(1, 149) = 149 / 149
GCD(1, 149) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 555
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 555) = 555
GCD(1, 555) = ( 1 x 555 ) / 555
GCD(1, 555) = 555 / 555
GCD(1, 555) = 1
GCD of 432, 841, 149, 555 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 432, 841, 149, 555?
GCD of 432, 841, 149, 555 is 1
2. Where do I get the detailed procedure to find GCD of 432, 841, 149, 555?
You can find a detailed procedure to find GCD of 432, 841, 149, 555 on our page.
3. How to find GCD of 432, 841, 149, 555 on a calculator?
You can find the GCD of 432, 841, 149, 555 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.