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 496, 473, 891, 471 i.e. 1 largest integer that divides all the numbers equally.
GCD of 496, 473, 891, 471 is 1
GCD(496, 473, 891, 471) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 496, 473, 891, 471 is 1
GCD(496, 473, 891, 471) = 1
Given Input numbers are 496, 473, 891, 471
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 496
List of positive integer divisors of 496 that divides 496 without a remainder.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 473
List of positive integer divisors of 473 that divides 473 without a remainder.
1, 11, 43, 473
Divisors of 891
List of positive integer divisors of 891 that divides 891 without a remainder.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
Divisors of 471
List of positive integer divisors of 471 that divides 471 without a remainder.
1, 3, 157, 471
Greatest Common Divisior
We found the divisors of 496, 473, 891, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 473, 891, 471 is 1.
Therefore, GCD of numbers 496, 473, 891, 471 is 1
Given Input Data is 496, 473, 891, 471
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31
Prime Factorization of 473 is 11 x 43
Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11
Prime Factorization of 471 is 3 x 157
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(496, 473) = 234608
GCD(496, 473) = ( 496 x 473 ) / 234608
GCD(496, 473) = 234608 / 234608
GCD(496, 473) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 891
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 891) = 891
GCD(1, 891) = ( 1 x 891 ) / 891
GCD(1, 891) = 891 / 891
GCD(1, 891) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 471
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 471) = 471
GCD(1, 471) = ( 1 x 471 ) / 471
GCD(1, 471) = 471 / 471
GCD(1, 471) = 1
GCD of 496, 473, 891, 471 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 496, 473, 891, 471?
GCD of 496, 473, 891, 471 is 1
2. Where do I get the detailed procedure to find GCD of 496, 473, 891, 471?
You can find a detailed procedure to find GCD of 496, 473, 891, 471 on our page.
3. How to find GCD of 496, 473, 891, 471 on a calculator?
You can find the GCD of 496, 473, 891, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.