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 785, 312, 81, 432 i.e. 1 largest integer that divides all the numbers equally.
GCD of 785, 312, 81, 432 is 1
GCD(785, 312, 81, 432) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 785, 312, 81, 432 is 1
GCD(785, 312, 81, 432) = 1
Given Input numbers are 785, 312, 81, 432
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 785
List of positive integer divisors of 785 that divides 785 without a remainder.
1, 5, 157, 785
Divisors of 312
List of positive integer divisors of 312 that divides 312 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
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
Greatest Common Divisior
We found the divisors of 785, 312, 81, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 785, 312, 81, 432 is 1.
Therefore, GCD of numbers 785, 312, 81, 432 is 1
Given Input Data is 785, 312, 81, 432
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 785 is 5 x 157
Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3
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(785, 312) = 244920
GCD(785, 312) = ( 785 x 312 ) / 244920
GCD(785, 312) = 244920 / 244920
GCD(785, 312) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 81) = 81
GCD(1, 81) = ( 1 x 81 ) / 81
GCD(1, 81) = 81 / 81
GCD(1, 81) = 1
Step3:
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
GCD of 785, 312, 81, 432 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 785, 312, 81, 432?
GCD of 785, 312, 81, 432 is 1
2. Where do I get the detailed procedure to find GCD of 785, 312, 81, 432?
You can find a detailed procedure to find GCD of 785, 312, 81, 432 on our page.
3. How to find GCD of 785, 312, 81, 432 on a calculator?
You can find the GCD of 785, 312, 81, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.