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 309, 188, 767, 608 i.e. 1 largest integer that divides all the numbers equally.
GCD of 309, 188, 767, 608 is 1
GCD(309, 188, 767, 608) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 309, 188, 767, 608 is 1
GCD(309, 188, 767, 608) = 1
Given Input numbers are 309, 188, 767, 608
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 309
List of positive integer divisors of 309 that divides 309 without a remainder.
1, 3, 103, 309
Divisors of 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Divisors of 767
List of positive integer divisors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Divisors of 608
List of positive integer divisors of 608 that divides 608 without a remainder.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
Greatest Common Divisior
We found the divisors of 309, 188, 767, 608 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 188, 767, 608 is 1.
Therefore, GCD of numbers 309, 188, 767, 608 is 1
Given Input Data is 309, 188, 767, 608
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 309 is 3 x 103
Prime Factorization of 188 is 2 x 2 x 47
Prime Factorization of 767 is 13 x 59
Prime Factorization of 608 is 2 x 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(309, 188) = 58092
GCD(309, 188) = ( 309 x 188 ) / 58092
GCD(309, 188) = 58092 / 58092
GCD(309, 188) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 767
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 767) = 767
GCD(1, 767) = ( 1 x 767 ) / 767
GCD(1, 767) = 767 / 767
GCD(1, 767) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 608
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 608) = 608
GCD(1, 608) = ( 1 x 608 ) / 608
GCD(1, 608) = 608 / 608
GCD(1, 608) = 1
GCD of 309, 188, 767, 608 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 309, 188, 767, 608?
GCD of 309, 188, 767, 608 is 1
2. Where do I get the detailed procedure to find GCD of 309, 188, 767, 608?
You can find a detailed procedure to find GCD of 309, 188, 767, 608 on our page.
3. How to find GCD of 309, 188, 767, 608 on a calculator?
You can find the GCD of 309, 188, 767, 608 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.