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 609, 364, 913, 992 i.e. 1 largest integer that divides all the numbers equally.
GCD of 609, 364, 913, 992 is 1
GCD(609, 364, 913, 992) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 609, 364, 913, 992 is 1
GCD(609, 364, 913, 992) = 1
Given Input numbers are 609, 364, 913, 992
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 609
List of positive integer divisors of 609 that divides 609 without a remainder.
1, 3, 7, 21, 29, 87, 203, 609
Divisors of 364
List of positive integer divisors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Divisors of 992
List of positive integer divisors of 992 that divides 992 without a remainder.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
Greatest Common Divisior
We found the divisors of 609, 364, 913, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 609, 364, 913, 992 is 1.
Therefore, GCD of numbers 609, 364, 913, 992 is 1
Given Input Data is 609, 364, 913, 992
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 609 is 3 x 7 x 29
Prime Factorization of 364 is 2 x 2 x 7 x 13
Prime Factorization of 913 is 11 x 83
Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31
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(609, 364) = 31668
GCD(609, 364) = ( 609 x 364 ) / 31668
GCD(609, 364) = 221676 / 31668
GCD(609, 364) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 913
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 913) = 6391
GCD(7, 913) = ( 7 x 913 ) / 6391
GCD(7, 913) = 6391 / 6391
GCD(7, 913) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 992
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 992) = 992
GCD(1, 992) = ( 1 x 992 ) / 992
GCD(1, 992) = 992 / 992
GCD(1, 992) = 1
GCD of 609, 364, 913, 992 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 609, 364, 913, 992?
GCD of 609, 364, 913, 992 is 1
2. Where do I get the detailed procedure to find GCD of 609, 364, 913, 992?
You can find a detailed procedure to find GCD of 609, 364, 913, 992 on our page.
3. How to find GCD of 609, 364, 913, 992 on a calculator?
You can find the GCD of 609, 364, 913, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.