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, 559, 69, 304 i.e. 1 largest integer that divides all the numbers equally.
GCD of 785, 559, 69, 304 is 1
GCD(785, 559, 69, 304) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 785, 559, 69, 304 is 1
GCD(785, 559, 69, 304) = 1
Given Input numbers are 785, 559, 69, 304
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 559
List of positive integer divisors of 559 that divides 559 without a remainder.
1, 13, 43, 559
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Greatest Common Divisior
We found the divisors of 785, 559, 69, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 785, 559, 69, 304 is 1.
Therefore, GCD of numbers 785, 559, 69, 304 is 1
Given Input Data is 785, 559, 69, 304
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 785 is 5 x 157
Prime Factorization of 559 is 13 x 43
Prime Factorization of 69 is 3 x 23
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
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, 559) = 438815
GCD(785, 559) = ( 785 x 559 ) / 438815
GCD(785, 559) = 438815 / 438815
GCD(785, 559) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 69) = 69
GCD(1, 69) = ( 1 x 69 ) / 69
GCD(1, 69) = 69 / 69
GCD(1, 69) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 304
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 304) = 304
GCD(1, 304) = ( 1 x 304 ) / 304
GCD(1, 304) = 304 / 304
GCD(1, 304) = 1
GCD of 785, 559, 69, 304 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 785, 559, 69, 304?
GCD of 785, 559, 69, 304 is 1
2. Where do I get the detailed procedure to find GCD of 785, 559, 69, 304?
You can find a detailed procedure to find GCD of 785, 559, 69, 304 on our page.
3. How to find GCD of 785, 559, 69, 304 on a calculator?
You can find the GCD of 785, 559, 69, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.