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, 837, 865, 880 i.e. 1 largest integer that divides all the numbers equally.
GCD of 249, 837, 865, 880 is 1
GCD(249, 837, 865, 880) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 249, 837, 865, 880 is 1
GCD(249, 837, 865, 880) = 1
Given Input numbers are 249, 837, 865, 880
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 837
List of positive integer divisors of 837 that divides 837 without a remainder.
1, 3, 9, 27, 31, 93, 279, 837
Divisors of 865
List of positive integer divisors of 865 that divides 865 without a remainder.
1, 5, 173, 865
Divisors of 880
List of positive integer divisors of 880 that divides 880 without a remainder.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Greatest Common Divisior
We found the divisors of 249, 837, 865, 880 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 249, 837, 865, 880 is 1.
Therefore, GCD of numbers 249, 837, 865, 880 is 1
Given Input Data is 249, 837, 865, 880
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 249 is 3 x 83
Prime Factorization of 837 is 3 x 3 x 3 x 31
Prime Factorization of 865 is 5 x 173
Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11
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, 837) = 69471
GCD(249, 837) = ( 249 x 837 ) / 69471
GCD(249, 837) = 208413 / 69471
GCD(249, 837) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 865
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 865) = 2595
GCD(3, 865) = ( 3 x 865 ) / 2595
GCD(3, 865) = 2595 / 2595
GCD(3, 865) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 880
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 880) = 880
GCD(1, 880) = ( 1 x 880 ) / 880
GCD(1, 880) = 880 / 880
GCD(1, 880) = 1
GCD of 249, 837, 865, 880 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 249, 837, 865, 880?
GCD of 249, 837, 865, 880 is 1
2. Where do I get the detailed procedure to find GCD of 249, 837, 865, 880?
You can find a detailed procedure to find GCD of 249, 837, 865, 880 on our page.
3. How to find GCD of 249, 837, 865, 880 on a calculator?
You can find the GCD of 249, 837, 865, 880 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.