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 433, 678, 432, 392 i.e. 1 largest integer that divides all the numbers equally.
GCD of 433, 678, 432, 392 is 1
GCD(433, 678, 432, 392) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 433, 678, 432, 392 is 1
GCD(433, 678, 432, 392) = 1
Given Input numbers are 433, 678, 432, 392
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 433
List of positive integer divisors of 433 that divides 433 without a remainder.
1, 433
Divisors of 678
List of positive integer divisors of 678 that divides 678 without a remainder.
1, 2, 3, 6, 113, 226, 339, 678
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 392
List of positive integer divisors of 392 that divides 392 without a remainder.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Greatest Common Divisior
We found the divisors of 433, 678, 432, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 433, 678, 432, 392 is 1.
Therefore, GCD of numbers 433, 678, 432, 392 is 1
Given Input Data is 433, 678, 432, 392
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 433 is 433
Prime Factorization of 678 is 2 x 3 x 113
Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7
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(433, 678) = 293574
GCD(433, 678) = ( 433 x 678 ) / 293574
GCD(433, 678) = 293574 / 293574
GCD(433, 678) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 432
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 432) = 432
GCD(1, 432) = ( 1 x 432 ) / 432
GCD(1, 432) = 432 / 432
GCD(1, 432) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 392
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 392) = 392
GCD(1, 392) = ( 1 x 392 ) / 392
GCD(1, 392) = 392 / 392
GCD(1, 392) = 1
GCD of 433, 678, 432, 392 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 433, 678, 432, 392?
GCD of 433, 678, 432, 392 is 1
2. Where do I get the detailed procedure to find GCD of 433, 678, 432, 392?
You can find a detailed procedure to find GCD of 433, 678, 432, 392 on our page.
3. How to find GCD of 433, 678, 432, 392 on a calculator?
You can find the GCD of 433, 678, 432, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.