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 779, 304, 496, 988 i.e. 1 largest integer that divides all the numbers equally.
GCD of 779, 304, 496, 988 is 1
GCD(779, 304, 496, 988) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 779, 304, 496, 988 is 1
GCD(779, 304, 496, 988) = 1
Given Input numbers are 779, 304, 496, 988
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 779
List of positive integer divisors of 779 that divides 779 without a remainder.
1, 19, 41, 779
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 496
List of positive integer divisors of 496 that divides 496 without a remainder.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 988
List of positive integer divisors of 988 that divides 988 without a remainder.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Greatest Common Divisior
We found the divisors of 779, 304, 496, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 779, 304, 496, 988 is 1.
Therefore, GCD of numbers 779, 304, 496, 988 is 1
Given Input Data is 779, 304, 496, 988
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 779 is 19 x 41
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31
Prime Factorization of 988 is 2 x 2 x 13 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(779, 304) = 12464
GCD(779, 304) = ( 779 x 304 ) / 12464
GCD(779, 304) = 236816 / 12464
GCD(779, 304) = 19
Step2:
Here we consider the GCD from the above i.e. 19 as first number and the next as 496
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(19, 496) = 9424
GCD(19, 496) = ( 19 x 496 ) / 9424
GCD(19, 496) = 9424 / 9424
GCD(19, 496) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 988
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 988) = 988
GCD(1, 988) = ( 1 x 988 ) / 988
GCD(1, 988) = 988 / 988
GCD(1, 988) = 1
GCD of 779, 304, 496, 988 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 779, 304, 496, 988?
GCD of 779, 304, 496, 988 is 1
2. Where do I get the detailed procedure to find GCD of 779, 304, 496, 988?
You can find a detailed procedure to find GCD of 779, 304, 496, 988 on our page.
3. How to find GCD of 779, 304, 496, 988 on a calculator?
You can find the GCD of 779, 304, 496, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.