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, 850, 233, 149 i.e. 1 largest integer that divides all the numbers equally.
GCD of 432, 850, 233, 149 is 1
GCD(432, 850, 233, 149) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 432, 850, 233, 149 is 1
GCD(432, 850, 233, 149) = 1
Given Input numbers are 432, 850, 233, 149
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 850
List of positive integer divisors of 850 that divides 850 without a remainder.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Divisors of 233
List of positive integer divisors of 233 that divides 233 without a remainder.
1, 233
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Greatest Common Divisior
We found the divisors of 432, 850, 233, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 850, 233, 149 is 1.
Therefore, GCD of numbers 432, 850, 233, 149 is 1
Given Input Data is 432, 850, 233, 149
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 850 is 2 x 5 x 5 x 17
Prime Factorization of 233 is 233
Prime Factorization of 149 is 149
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, 850) = 183600
GCD(432, 850) = ( 432 x 850 ) / 183600
GCD(432, 850) = 367200 / 183600
GCD(432, 850) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 233
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 233) = 466
GCD(2, 233) = ( 2 x 233 ) / 466
GCD(2, 233) = 466 / 466
GCD(2, 233) = 1
Step3:
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
GCD of 432, 850, 233, 149 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 432, 850, 233, 149?
GCD of 432, 850, 233, 149 is 1
2. Where do I get the detailed procedure to find GCD of 432, 850, 233, 149?
You can find a detailed procedure to find GCD of 432, 850, 233, 149 on our page.
3. How to find GCD of 432, 850, 233, 149 on a calculator?
You can find the GCD of 432, 850, 233, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.