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 789, 703, 85, 275 i.e. 1 largest integer that divides all the numbers equally.
GCD of 789, 703, 85, 275 is 1
GCD(789, 703, 85, 275) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 789, 703, 85, 275 is 1
GCD(789, 703, 85, 275) = 1
Given Input numbers are 789, 703, 85, 275
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Divisors of 703
List of positive integer divisors of 703 that divides 703 without a remainder.
1, 19, 37, 703
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 275
List of positive integer divisors of 275 that divides 275 without a remainder.
1, 5, 11, 25, 55, 275
Greatest Common Divisior
We found the divisors of 789, 703, 85, 275 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 703, 85, 275 is 1.
Therefore, GCD of numbers 789, 703, 85, 275 is 1
Given Input Data is 789, 703, 85, 275
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 789 is 3 x 263
Prime Factorization of 703 is 19 x 37
Prime Factorization of 85 is 5 x 17
Prime Factorization of 275 is 5 x 5 x 11
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(789, 703) = 554667
GCD(789, 703) = ( 789 x 703 ) / 554667
GCD(789, 703) = 554667 / 554667
GCD(789, 703) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 85) = 85
GCD(1, 85) = ( 1 x 85 ) / 85
GCD(1, 85) = 85 / 85
GCD(1, 85) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 275
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 275) = 275
GCD(1, 275) = ( 1 x 275 ) / 275
GCD(1, 275) = 275 / 275
GCD(1, 275) = 1
GCD of 789, 703, 85, 275 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 789, 703, 85, 275?
GCD of 789, 703, 85, 275 is 1
2. Where do I get the detailed procedure to find GCD of 789, 703, 85, 275?
You can find a detailed procedure to find GCD of 789, 703, 85, 275 on our page.
3. How to find GCD of 789, 703, 85, 275 on a calculator?
You can find the GCD of 789, 703, 85, 275 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.