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 25, 776, 311, 992 i.e. 1 largest integer that divides all the numbers equally.
GCD of 25, 776, 311, 992 is 1
GCD(25, 776, 311, 992) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 25, 776, 311, 992 is 1
GCD(25, 776, 311, 992) = 1
Given Input numbers are 25, 776, 311, 992
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 776
List of positive integer divisors of 776 that divides 776 without a remainder.
1, 2, 4, 8, 97, 194, 388, 776
Divisors of 311
List of positive integer divisors of 311 that divides 311 without a remainder.
1, 311
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 25, 776, 311, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 776, 311, 992 is 1.
Therefore, GCD of numbers 25, 776, 311, 992 is 1
Given Input Data is 25, 776, 311, 992
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 25 is 5 x 5
Prime Factorization of 776 is 2 x 2 x 2 x 97
Prime Factorization of 311 is 311
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(25, 776) = 19400
GCD(25, 776) = ( 25 x 776 ) / 19400
GCD(25, 776) = 19400 / 19400
GCD(25, 776) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 311
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 311) = 311
GCD(1, 311) = ( 1 x 311 ) / 311
GCD(1, 311) = 311 / 311
GCD(1, 311) = 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 25, 776, 311, 992 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 25, 776, 311, 992?
GCD of 25, 776, 311, 992 is 1
2. Where do I get the detailed procedure to find GCD of 25, 776, 311, 992?
You can find a detailed procedure to find GCD of 25, 776, 311, 992 on our page.
3. How to find GCD of 25, 776, 311, 992 on a calculator?
You can find the GCD of 25, 776, 311, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.