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 249, 777, 997, 865 i.e. 1 largest integer that divides all the numbers equally.
GCD of 249, 777, 997, 865 is 1
GCD(249, 777, 997, 865) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 249, 777, 997, 865 is 1
GCD(249, 777, 997, 865) = 1
Given Input numbers are 249, 777, 997, 865
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 249
List of positive integer divisors of 249 that divides 249 without a remainder.
1, 3, 83, 249
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Divisors of 997
List of positive integer divisors of 997 that divides 997 without a remainder.
1, 997
Divisors of 865
List of positive integer divisors of 865 that divides 865 without a remainder.
1, 5, 173, 865
Greatest Common Divisior
We found the divisors of 249, 777, 997, 865 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 249, 777, 997, 865 is 1.
Therefore, GCD of numbers 249, 777, 997, 865 is 1
Given Input Data is 249, 777, 997, 865
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 249 is 3 x 83
Prime Factorization of 777 is 3 x 7 x 37
Prime Factorization of 997 is 997
Prime Factorization of 865 is 5 x 173
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(249, 777) = 64491
GCD(249, 777) = ( 249 x 777 ) / 64491
GCD(249, 777) = 193473 / 64491
GCD(249, 777) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 997
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 997) = 2991
GCD(3, 997) = ( 3 x 997 ) / 2991
GCD(3, 997) = 2991 / 2991
GCD(3, 997) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 865
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 865) = 865
GCD(1, 865) = ( 1 x 865 ) / 865
GCD(1, 865) = 865 / 865
GCD(1, 865) = 1
GCD of 249, 777, 997, 865 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 249, 777, 997, 865?
GCD of 249, 777, 997, 865 is 1
2. Where do I get the detailed procedure to find GCD of 249, 777, 997, 865?
You can find a detailed procedure to find GCD of 249, 777, 997, 865 on our page.
3. How to find GCD of 249, 777, 997, 865 on a calculator?
You can find the GCD of 249, 777, 997, 865 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.