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 877, 460, 11, 458 i.e. 1 largest integer that divides all the numbers equally.
GCD of 877, 460, 11, 458 is 1
GCD(877, 460, 11, 458) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 877, 460, 11, 458 is 1
GCD(877, 460, 11, 458) = 1
Given Input numbers are 877, 460, 11, 458
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 877
List of positive integer divisors of 877 that divides 877 without a remainder.
1, 877
Divisors of 460
List of positive integer divisors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 458
List of positive integer divisors of 458 that divides 458 without a remainder.
1, 2, 229, 458
Greatest Common Divisior
We found the divisors of 877, 460, 11, 458 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 877, 460, 11, 458 is 1.
Therefore, GCD of numbers 877, 460, 11, 458 is 1
Given Input Data is 877, 460, 11, 458
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 877 is 877
Prime Factorization of 460 is 2 x 2 x 5 x 23
Prime Factorization of 11 is 11
Prime Factorization of 458 is 2 x 229
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(877, 460) = 403420
GCD(877, 460) = ( 877 x 460 ) / 403420
GCD(877, 460) = 403420 / 403420
GCD(877, 460) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 11) = 11
GCD(1, 11) = ( 1 x 11 ) / 11
GCD(1, 11) = 11 / 11
GCD(1, 11) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 458
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 458) = 458
GCD(1, 458) = ( 1 x 458 ) / 458
GCD(1, 458) = 458 / 458
GCD(1, 458) = 1
GCD of 877, 460, 11, 458 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 877, 460, 11, 458?
GCD of 877, 460, 11, 458 is 1
2. Where do I get the detailed procedure to find GCD of 877, 460, 11, 458?
You can find a detailed procedure to find GCD of 877, 460, 11, 458 on our page.
3. How to find GCD of 877, 460, 11, 458 on a calculator?
You can find the GCD of 877, 460, 11, 458 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.