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 771, 685, 30, 309 i.e. 1 largest integer that divides all the numbers equally.
GCD of 771, 685, 30, 309 is 1
GCD(771, 685, 30, 309) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 771, 685, 30, 309 is 1
GCD(771, 685, 30, 309) = 1
Given Input numbers are 771, 685, 30, 309
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Divisors of 685
List of positive integer divisors of 685 that divides 685 without a remainder.
1, 5, 137, 685
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 309
List of positive integer divisors of 309 that divides 309 without a remainder.
1, 3, 103, 309
Greatest Common Divisior
We found the divisors of 771, 685, 30, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 771, 685, 30, 309 is 1.
Therefore, GCD of numbers 771, 685, 30, 309 is 1
Given Input Data is 771, 685, 30, 309
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 771 is 3 x 257
Prime Factorization of 685 is 5 x 137
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 309 is 3 x 103
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(771, 685) = 528135
GCD(771, 685) = ( 771 x 685 ) / 528135
GCD(771, 685) = 528135 / 528135
GCD(771, 685) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 30
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 30) = 30
GCD(1, 30) = ( 1 x 30 ) / 30
GCD(1, 30) = 30 / 30
GCD(1, 30) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 309
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 309) = 309
GCD(1, 309) = ( 1 x 309 ) / 309
GCD(1, 309) = 309 / 309
GCD(1, 309) = 1
GCD of 771, 685, 30, 309 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 771, 685, 30, 309?
GCD of 771, 685, 30, 309 is 1
2. Where do I get the detailed procedure to find GCD of 771, 685, 30, 309?
You can find a detailed procedure to find GCD of 771, 685, 30, 309 on our page.
3. How to find GCD of 771, 685, 30, 309 on a calculator?
You can find the GCD of 771, 685, 30, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.