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 257, 988, 992 i.e. 1 largest integer that divides all the numbers equally.
GCD of 257, 988, 992 is 1
GCD(257, 988, 992) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 257, 988, 992 is 1
GCD(257, 988, 992) = 1
Given Input numbers are 257, 988, 992
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 257
List of positive integer divisors of 257 that divides 257 without a remainder.
1, 257
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
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 257, 988, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 257, 988, 992 is 1.
Therefore, GCD of numbers 257, 988, 992 is 1
Given Input Data is 257, 988, 992
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 257 is 257
Prime Factorization of 988 is 2 x 2 x 13 x 19
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(257, 988) = 253916
GCD(257, 988) = ( 257 x 988 ) / 253916
GCD(257, 988) = 253916 / 253916
GCD(257, 988) = 1
Step2:
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 257, 988, 992 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 257, 988, 992?
GCD of 257, 988, 992 is 1
2. Where do I get the detailed procedure to find GCD of 257, 988, 992?
You can find a detailed procedure to find GCD of 257, 988, 992 on our page.
3. How to find GCD of 257, 988, 992 on a calculator?
You can find the GCD of 257, 988, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.