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 413, 901, 882, 731 i.e. 1 largest integer that divides all the numbers equally.
GCD of 413, 901, 882, 731 is 1
GCD(413, 901, 882, 731) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 413, 901, 882, 731 is 1
GCD(413, 901, 882, 731) = 1
Given Input numbers are 413, 901, 882, 731
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 413
List of positive integer divisors of 413 that divides 413 without a remainder.
1, 7, 59, 413
Divisors of 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Divisors of 882
List of positive integer divisors of 882 that divides 882 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
Divisors of 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Greatest Common Divisior
We found the divisors of 413, 901, 882, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 413, 901, 882, 731 is 1.
Therefore, GCD of numbers 413, 901, 882, 731 is 1
Given Input Data is 413, 901, 882, 731
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 413 is 7 x 59
Prime Factorization of 901 is 17 x 53
Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7
Prime Factorization of 731 is 17 x 43
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(413, 901) = 372113
GCD(413, 901) = ( 413 x 901 ) / 372113
GCD(413, 901) = 372113 / 372113
GCD(413, 901) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 882
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 882) = 882
GCD(1, 882) = ( 1 x 882 ) / 882
GCD(1, 882) = 882 / 882
GCD(1, 882) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 731
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 731) = 731
GCD(1, 731) = ( 1 x 731 ) / 731
GCD(1, 731) = 731 / 731
GCD(1, 731) = 1
GCD of 413, 901, 882, 731 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 413, 901, 882, 731?
GCD of 413, 901, 882, 731 is 1
2. Where do I get the detailed procedure to find GCD of 413, 901, 882, 731?
You can find a detailed procedure to find GCD of 413, 901, 882, 731 on our page.
3. How to find GCD of 413, 901, 882, 731 on a calculator?
You can find the GCD of 413, 901, 882, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.