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 105, 864, 604, 680 i.e. 1 largest integer that divides all the numbers equally.
GCD of 105, 864, 604, 680 is 1
GCD(105, 864, 604, 680) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 105, 864, 604, 680 is 1
GCD(105, 864, 604, 680) = 1
Given Input numbers are 105, 864, 604, 680
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 105
List of positive integer divisors of 105 that divides 105 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105
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 604
List of positive integer divisors of 604 that divides 604 without a remainder.
1, 2, 4, 151, 302, 604
Divisors of 680
List of positive integer divisors of 680 that divides 680 without a remainder.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Greatest Common Divisior
We found the divisors of 105, 864, 604, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 864, 604, 680 is 1.
Therefore, GCD of numbers 105, 864, 604, 680 is 1
Given Input Data is 105, 864, 604, 680
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 105 is 3 x 5 x 7
Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 604 is 2 x 2 x 151
Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17
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(105, 864) = 30240
GCD(105, 864) = ( 105 x 864 ) / 30240
GCD(105, 864) = 90720 / 30240
GCD(105, 864) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 604
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 604) = 1812
GCD(3, 604) = ( 3 x 604 ) / 1812
GCD(3, 604) = 1812 / 1812
GCD(3, 604) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 680
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 680) = 680
GCD(1, 680) = ( 1 x 680 ) / 680
GCD(1, 680) = 680 / 680
GCD(1, 680) = 1
GCD of 105, 864, 604, 680 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 105, 864, 604, 680?
GCD of 105, 864, 604, 680 is 1
2. Where do I get the detailed procedure to find GCD of 105, 864, 604, 680?
You can find a detailed procedure to find GCD of 105, 864, 604, 680 on our page.
3. How to find GCD of 105, 864, 604, 680 on a calculator?
You can find the GCD of 105, 864, 604, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.