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 731, 213, 40, 913 i.e. 1 largest integer that divides all the numbers equally.
GCD of 731, 213, 40, 913 is 1
GCD(731, 213, 40, 913) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 731, 213, 40, 913 is 1
GCD(731, 213, 40, 913) = 1
Given Input numbers are 731, 213, 40, 913
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Divisors of 213
List of positive integer divisors of 213 that divides 213 without a remainder.
1, 3, 71, 213
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 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Greatest Common Divisior
We found the divisors of 731, 213, 40, 913 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 731, 213, 40, 913 is 1.
Therefore, GCD of numbers 731, 213, 40, 913 is 1
Given Input Data is 731, 213, 40, 913
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 731 is 17 x 43
Prime Factorization of 213 is 3 x 71
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 913 is 11 x 83
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(731, 213) = 155703
GCD(731, 213) = ( 731 x 213 ) / 155703
GCD(731, 213) = 155703 / 155703
GCD(731, 213) = 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 913
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 913) = 913
GCD(1, 913) = ( 1 x 913 ) / 913
GCD(1, 913) = 913 / 913
GCD(1, 913) = 1
GCD of 731, 213, 40, 913 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 731, 213, 40, 913?
GCD of 731, 213, 40, 913 is 1
2. Where do I get the detailed procedure to find GCD of 731, 213, 40, 913?
You can find a detailed procedure to find GCD of 731, 213, 40, 913 on our page.
3. How to find GCD of 731, 213, 40, 913 on a calculator?
You can find the GCD of 731, 213, 40, 913 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.