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, 783, 15, 425 i.e. 1 largest integer that divides all the numbers equally.
GCD of 432, 783, 15, 425 is 1
GCD(432, 783, 15, 425) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 432, 783, 15, 425 is 1
GCD(432, 783, 15, 425) = 1
Given Input numbers are 432, 783, 15, 425
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 783
List of positive integer divisors of 783 that divides 783 without a remainder.
1, 3, 9, 27, 29, 87, 261, 783
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 425
List of positive integer divisors of 425 that divides 425 without a remainder.
1, 5, 17, 25, 85, 425
Greatest Common Divisior
We found the divisors of 432, 783, 15, 425 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 783, 15, 425 is 1.
Therefore, GCD of numbers 432, 783, 15, 425 is 1
Given Input Data is 432, 783, 15, 425
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 783 is 3 x 3 x 3 x 29
Prime Factorization of 15 is 3 x 5
Prime Factorization of 425 is 5 x 5 x 17
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, 783) = 12528
GCD(432, 783) = ( 432 x 783 ) / 12528
GCD(432, 783) = 338256 / 12528
GCD(432, 783) = 27
Step2:
Here we consider the GCD from the above i.e. 27 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(27, 15) = 135
GCD(27, 15) = ( 27 x 15 ) / 135
GCD(27, 15) = 405 / 135
GCD(27, 15) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 425
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 425) = 1275
GCD(3, 425) = ( 3 x 425 ) / 1275
GCD(3, 425) = 1275 / 1275
GCD(3, 425) = 1
GCD of 432, 783, 15, 425 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 432, 783, 15, 425?
GCD of 432, 783, 15, 425 is 1
2. Where do I get the detailed procedure to find GCD of 432, 783, 15, 425?
You can find a detailed procedure to find GCD of 432, 783, 15, 425 on our page.
3. How to find GCD of 432, 783, 15, 425 on a calculator?
You can find the GCD of 432, 783, 15, 425 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.