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, 495, 78, 438 i.e. 1 largest integer that divides all the numbers equally.
GCD of 785, 495, 78, 438 is 1
GCD(785, 495, 78, 438) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 785, 495, 78, 438 is 1
GCD(785, 495, 78, 438) = 1
Given Input numbers are 785, 495, 78, 438
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 495
List of positive integer divisors of 495 that divides 495 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 438
List of positive integer divisors of 438 that divides 438 without a remainder.
1, 2, 3, 6, 73, 146, 219, 438
Greatest Common Divisior
We found the divisors of 785, 495, 78, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 785, 495, 78, 438 is 1.
Therefore, GCD of numbers 785, 495, 78, 438 is 1
Given Input Data is 785, 495, 78, 438
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 785 is 5 x 157
Prime Factorization of 495 is 3 x 3 x 5 x 11
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 438 is 2 x 3 x 73
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, 495) = 77715
GCD(785, 495) = ( 785 x 495 ) / 77715
GCD(785, 495) = 388575 / 77715
GCD(785, 495) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 78) = 390
GCD(5, 78) = ( 5 x 78 ) / 390
GCD(5, 78) = 390 / 390
GCD(5, 78) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 438
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 438) = 438
GCD(1, 438) = ( 1 x 438 ) / 438
GCD(1, 438) = 438 / 438
GCD(1, 438) = 1
GCD of 785, 495, 78, 438 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 785, 495, 78, 438?
GCD of 785, 495, 78, 438 is 1
2. Where do I get the detailed procedure to find GCD of 785, 495, 78, 438?
You can find a detailed procedure to find GCD of 785, 495, 78, 438 on our page.
3. How to find GCD of 785, 495, 78, 438 on a calculator?
You can find the GCD of 785, 495, 78, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.