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, 948, 225, 193 i.e. 1 largest integer that divides all the numbers equally.
GCD of 432, 948, 225, 193 is 1
GCD(432, 948, 225, 193) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 432, 948, 225, 193 is 1
GCD(432, 948, 225, 193) = 1
Given Input numbers are 432, 948, 225, 193
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 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 225
List of positive integer divisors of 225 that divides 225 without a remainder.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 193
List of positive integer divisors of 193 that divides 193 without a remainder.
1, 193
Greatest Common Divisior
We found the divisors of 432, 948, 225, 193 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 948, 225, 193 is 1.
Therefore, GCD of numbers 432, 948, 225, 193 is 1
Given Input Data is 432, 948, 225, 193
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 948 is 2 x 2 x 3 x 79
Prime Factorization of 225 is 3 x 3 x 5 x 5
Prime Factorization of 193 is 193
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, 948) = 34128
GCD(432, 948) = ( 432 x 948 ) / 34128
GCD(432, 948) = 409536 / 34128
GCD(432, 948) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 225
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 225) = 900
GCD(12, 225) = ( 12 x 225 ) / 900
GCD(12, 225) = 2700 / 900
GCD(12, 225) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 193
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 193) = 579
GCD(3, 193) = ( 3 x 193 ) / 579
GCD(3, 193) = 579 / 579
GCD(3, 193) = 1
GCD of 432, 948, 225, 193 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 432, 948, 225, 193?
GCD of 432, 948, 225, 193 is 1
2. Where do I get the detailed procedure to find GCD of 432, 948, 225, 193?
You can find a detailed procedure to find GCD of 432, 948, 225, 193 on our page.
3. How to find GCD of 432, 948, 225, 193 on a calculator?
You can find the GCD of 432, 948, 225, 193 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.