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 71, 455, 913, 892 i.e. 1 largest integer that divides all the numbers equally.
GCD of 71, 455, 913, 892 is 1
GCD(71, 455, 913, 892) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 71, 455, 913, 892 is 1
GCD(71, 455, 913, 892) = 1
Given Input numbers are 71, 455, 913, 892
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 455
List of positive integer divisors of 455 that divides 455 without a remainder.
1, 5, 7, 13, 35, 65, 91, 455
Divisors of 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Divisors of 892
List of positive integer divisors of 892 that divides 892 without a remainder.
1, 2, 4, 223, 446, 892
Greatest Common Divisior
We found the divisors of 71, 455, 913, 892 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 455, 913, 892 is 1.
Therefore, GCD of numbers 71, 455, 913, 892 is 1
Given Input Data is 71, 455, 913, 892
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 71 is 71
Prime Factorization of 455 is 5 x 7 x 13
Prime Factorization of 913 is 11 x 83
Prime Factorization of 892 is 2 x 2 x 223
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(71, 455) = 32305
GCD(71, 455) = ( 71 x 455 ) / 32305
GCD(71, 455) = 32305 / 32305
GCD(71, 455) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 892
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 892) = 892
GCD(1, 892) = ( 1 x 892 ) / 892
GCD(1, 892) = 892 / 892
GCD(1, 892) = 1
GCD of 71, 455, 913, 892 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 71, 455, 913, 892?
GCD of 71, 455, 913, 892 is 1
2. Where do I get the detailed procedure to find GCD of 71, 455, 913, 892?
You can find a detailed procedure to find GCD of 71, 455, 913, 892 on our page.
3. How to find GCD of 71, 455, 913, 892 on a calculator?
You can find the GCD of 71, 455, 913, 892 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.