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 616, 179, 369, 992 i.e. 1 largest integer that divides all the numbers equally.
GCD of 616, 179, 369, 992 is 1
GCD(616, 179, 369, 992) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 616, 179, 369, 992 is 1
GCD(616, 179, 369, 992) = 1
Given Input numbers are 616, 179, 369, 992
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 616
List of positive integer divisors of 616 that divides 616 without a remainder.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 179
List of positive integer divisors of 179 that divides 179 without a remainder.
1, 179
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
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 616, 179, 369, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 616, 179, 369, 992 is 1.
Therefore, GCD of numbers 616, 179, 369, 992 is 1
Given Input Data is 616, 179, 369, 992
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
Prime Factorization of 179 is 179
Prime Factorization of 369 is 3 x 3 x 41
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(616, 179) = 110264
GCD(616, 179) = ( 616 x 179 ) / 110264
GCD(616, 179) = 110264 / 110264
GCD(616, 179) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 369
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 369) = 369
GCD(1, 369) = ( 1 x 369 ) / 369
GCD(1, 369) = 369 / 369
GCD(1, 369) = 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 616, 179, 369, 992 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 616, 179, 369, 992?
GCD of 616, 179, 369, 992 is 1
2. Where do I get the detailed procedure to find GCD of 616, 179, 369, 992?
You can find a detailed procedure to find GCD of 616, 179, 369, 992 on our page.
3. How to find GCD of 616, 179, 369, 992 on a calculator?
You can find the GCD of 616, 179, 369, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.