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, 698, 534, 728 i.e. 2 largest integer that divides all the numbers equally.
GCD of 864, 698, 534, 728 is 2
GCD(864, 698, 534, 728) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 864, 698, 534, 728 is 2
GCD(864, 698, 534, 728) = 2
Given Input numbers are 864, 698, 534, 728
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 698
List of positive integer divisors of 698 that divides 698 without a remainder.
1, 2, 349, 698
Divisors of 534
List of positive integer divisors of 534 that divides 534 without a remainder.
1, 2, 3, 6, 89, 178, 267, 534
Divisors of 728
List of positive integer divisors of 728 that divides 728 without a remainder.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Greatest Common Divisior
We found the divisors of 864, 698, 534, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 698, 534, 728 is 2.
Therefore, GCD of numbers 864, 698, 534, 728 is 2
Given Input Data is 864, 698, 534, 728
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 698 is 2 x 349
Prime Factorization of 534 is 2 x 3 x 89
Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 698) = 301536
GCD(864, 698) = ( 864 x 698 ) / 301536
GCD(864, 698) = 603072 / 301536
GCD(864, 698) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 534
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 534) = 534
GCD(2, 534) = ( 2 x 534 ) / 534
GCD(2, 534) = 1068 / 534
GCD(2, 534) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 728
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 728) = 728
GCD(2, 728) = ( 2 x 728 ) / 728
GCD(2, 728) = 1456 / 728
GCD(2, 728) = 2
GCD of 864, 698, 534, 728 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 864, 698, 534, 728?
GCD of 864, 698, 534, 728 is 2
2. Where do I get the detailed procedure to find GCD of 864, 698, 534, 728?
You can find a detailed procedure to find GCD of 864, 698, 534, 728 on our page.
3. How to find GCD of 864, 698, 534, 728 on a calculator?
You can find the GCD of 864, 698, 534, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.