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, 793, 746, 547 i.e. 1 largest integer that divides all the numbers equally.
GCD of 864, 793, 746, 547 is 1
GCD(864, 793, 746, 547) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 864, 793, 746, 547 is 1
GCD(864, 793, 746, 547) = 1
Given Input numbers are 864, 793, 746, 547
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 793
List of positive integer divisors of 793 that divides 793 without a remainder.
1, 13, 61, 793
Divisors of 746
List of positive integer divisors of 746 that divides 746 without a remainder.
1, 2, 373, 746
Divisors of 547
List of positive integer divisors of 547 that divides 547 without a remainder.
1, 547
Greatest Common Divisior
We found the divisors of 864, 793, 746, 547 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 793, 746, 547 is 1.
Therefore, GCD of numbers 864, 793, 746, 547 is 1
Given Input Data is 864, 793, 746, 547
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 793 is 13 x 61
Prime Factorization of 746 is 2 x 373
Prime Factorization of 547 is 547
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, 793) = 685152
GCD(864, 793) = ( 864 x 793 ) / 685152
GCD(864, 793) = 685152 / 685152
GCD(864, 793) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 746
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 746) = 746
GCD(1, 746) = ( 1 x 746 ) / 746
GCD(1, 746) = 746 / 746
GCD(1, 746) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 547
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 547) = 547
GCD(1, 547) = ( 1 x 547 ) / 547
GCD(1, 547) = 547 / 547
GCD(1, 547) = 1
GCD of 864, 793, 746, 547 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 864, 793, 746, 547?
GCD of 864, 793, 746, 547 is 1
2. Where do I get the detailed procedure to find GCD of 864, 793, 746, 547?
You can find a detailed procedure to find GCD of 864, 793, 746, 547 on our page.
3. How to find GCD of 864, 793, 746, 547 on a calculator?
You can find the GCD of 864, 793, 746, 547 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.