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 865, 471, 76, 726 i.e. 1 largest integer that divides all the numbers equally.
GCD of 865, 471, 76, 726 is 1
GCD(865, 471, 76, 726) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 865, 471, 76, 726 is 1
GCD(865, 471, 76, 726) = 1
Given Input numbers are 865, 471, 76, 726
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 865
List of positive integer divisors of 865 that divides 865 without a remainder.
1, 5, 173, 865
Divisors of 471
List of positive integer divisors of 471 that divides 471 without a remainder.
1, 3, 157, 471
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 726
List of positive integer divisors of 726 that divides 726 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Greatest Common Divisior
We found the divisors of 865, 471, 76, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 865, 471, 76, 726 is 1.
Therefore, GCD of numbers 865, 471, 76, 726 is 1
Given Input Data is 865, 471, 76, 726
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 865 is 5 x 173
Prime Factorization of 471 is 3 x 157
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 726 is 2 x 3 x 11 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(865, 471) = 407415
GCD(865, 471) = ( 865 x 471 ) / 407415
GCD(865, 471) = 407415 / 407415
GCD(865, 471) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 76) = 76
GCD(1, 76) = ( 1 x 76 ) / 76
GCD(1, 76) = 76 / 76
GCD(1, 76) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 726
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 726) = 726
GCD(1, 726) = ( 1 x 726 ) / 726
GCD(1, 726) = 726 / 726
GCD(1, 726) = 1
GCD of 865, 471, 76, 726 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 865, 471, 76, 726?
GCD of 865, 471, 76, 726 is 1
2. Where do I get the detailed procedure to find GCD of 865, 471, 76, 726?
You can find a detailed procedure to find GCD of 865, 471, 76, 726 on our page.
3. How to find GCD of 865, 471, 76, 726 on a calculator?
You can find the GCD of 865, 471, 76, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.