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 308, 671, 61, 609 i.e. 1 largest integer that divides all the numbers equally.
GCD of 308, 671, 61, 609 is 1
GCD(308, 671, 61, 609) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 308, 671, 61, 609 is 1
GCD(308, 671, 61, 609) = 1
Given Input numbers are 308, 671, 61, 609
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 308
List of positive integer divisors of 308 that divides 308 without a remainder.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 671
List of positive integer divisors of 671 that divides 671 without a remainder.
1, 11, 61, 671
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 609
List of positive integer divisors of 609 that divides 609 without a remainder.
1, 3, 7, 21, 29, 87, 203, 609
Greatest Common Divisior
We found the divisors of 308, 671, 61, 609 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 671, 61, 609 is 1.
Therefore, GCD of numbers 308, 671, 61, 609 is 1
Given Input Data is 308, 671, 61, 609
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 308 is 2 x 2 x 7 x 11
Prime Factorization of 671 is 11 x 61
Prime Factorization of 61 is 61
Prime Factorization of 609 is 3 x 7 x 29
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(308, 671) = 18788
GCD(308, 671) = ( 308 x 671 ) / 18788
GCD(308, 671) = 206668 / 18788
GCD(308, 671) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 61) = 671
GCD(11, 61) = ( 11 x 61 ) / 671
GCD(11, 61) = 671 / 671
GCD(11, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 609
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 609) = 609
GCD(1, 609) = ( 1 x 609 ) / 609
GCD(1, 609) = 609 / 609
GCD(1, 609) = 1
GCD of 308, 671, 61, 609 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 308, 671, 61, 609?
GCD of 308, 671, 61, 609 is 1
2. Where do I get the detailed procedure to find GCD of 308, 671, 61, 609?
You can find a detailed procedure to find GCD of 308, 671, 61, 609 on our page.
3. How to find GCD of 308, 671, 61, 609 on a calculator?
You can find the GCD of 308, 671, 61, 609 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.