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 864, 106, 505, 880 i.e. 1 largest integer that divides all the numbers equally.
GCD of 864, 106, 505, 880 is 1
GCD(864, 106, 505, 880) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 864, 106, 505, 880 is 1
GCD(864, 106, 505, 880) = 1
Given Input numbers are 864, 106, 505, 880
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 864
List of positive integer divisors of 864 that divides 864 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 106
List of positive integer divisors of 106 that divides 106 without a remainder.
1, 2, 53, 106
Divisors of 505
List of positive integer divisors of 505 that divides 505 without a remainder.
1, 5, 101, 505
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 864, 106, 505, 880 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 106, 505, 880 is 1.
Therefore, GCD of numbers 864, 106, 505, 880 is 1
Given Input Data is 864, 106, 505, 880
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 106 is 2 x 53
Prime Factorization of 505 is 5 x 101
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(864, 106) = 45792
GCD(864, 106) = ( 864 x 106 ) / 45792
GCD(864, 106) = 91584 / 45792
GCD(864, 106) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 505
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 505) = 1010
GCD(2, 505) = ( 2 x 505 ) / 1010
GCD(2, 505) = 1010 / 1010
GCD(2, 505) = 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 864, 106, 505, 880 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 864, 106, 505, 880?
GCD of 864, 106, 505, 880 is 1
2. Where do I get the detailed procedure to find GCD of 864, 106, 505, 880?
You can find a detailed procedure to find GCD of 864, 106, 505, 880 on our page.
3. How to find GCD of 864, 106, 505, 880 on a calculator?
You can find the GCD of 864, 106, 505, 880 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.