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, 103, 40, 734 i.e. 1 largest integer that divides all the numbers equally.
GCD of 864, 103, 40, 734 is 1
GCD(864, 103, 40, 734) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 864, 103, 40, 734 is 1
GCD(864, 103, 40, 734) = 1
Given Input numbers are 864, 103, 40, 734
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 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Greatest Common Divisior
We found the divisors of 864, 103, 40, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 103, 40, 734 is 1.
Therefore, GCD of numbers 864, 103, 40, 734 is 1
Given Input Data is 864, 103, 40, 734
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 103 is 103
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 734 is 2 x 367
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, 103) = 88992
GCD(864, 103) = ( 864 x 103 ) / 88992
GCD(864, 103) = 88992 / 88992
GCD(864, 103) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 40) = 40
GCD(1, 40) = ( 1 x 40 ) / 40
GCD(1, 40) = 40 / 40
GCD(1, 40) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 734
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 734) = 734
GCD(1, 734) = ( 1 x 734 ) / 734
GCD(1, 734) = 734 / 734
GCD(1, 734) = 1
GCD of 864, 103, 40, 734 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 864, 103, 40, 734?
GCD of 864, 103, 40, 734 is 1
2. Where do I get the detailed procedure to find GCD of 864, 103, 40, 734?
You can find a detailed procedure to find GCD of 864, 103, 40, 734 on our page.
3. How to find GCD of 864, 103, 40, 734 on a calculator?
You can find the GCD of 864, 103, 40, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.