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 463, 478, 11, 561 i.e. 1 largest integer that divides all the numbers equally.
GCD of 463, 478, 11, 561 is 1
GCD(463, 478, 11, 561) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 463, 478, 11, 561 is 1
GCD(463, 478, 11, 561) = 1
Given Input numbers are 463, 478, 11, 561
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 463
List of positive integer divisors of 463 that divides 463 without a remainder.
1, 463
Divisors of 478
List of positive integer divisors of 478 that divides 478 without a remainder.
1, 2, 239, 478
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 561
List of positive integer divisors of 561 that divides 561 without a remainder.
1, 3, 11, 17, 33, 51, 187, 561
Greatest Common Divisior
We found the divisors of 463, 478, 11, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 463, 478, 11, 561 is 1.
Therefore, GCD of numbers 463, 478, 11, 561 is 1
Given Input Data is 463, 478, 11, 561
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 463 is 463
Prime Factorization of 478 is 2 x 239
Prime Factorization of 11 is 11
Prime Factorization of 561 is 3 x 11 x 17
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(463, 478) = 221314
GCD(463, 478) = ( 463 x 478 ) / 221314
GCD(463, 478) = 221314 / 221314
GCD(463, 478) = 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 561
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 561) = 561
GCD(1, 561) = ( 1 x 561 ) / 561
GCD(1, 561) = 561 / 561
GCD(1, 561) = 1
GCD of 463, 478, 11, 561 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 463, 478, 11, 561?
GCD of 463, 478, 11, 561 is 1
2. Where do I get the detailed procedure to find GCD of 463, 478, 11, 561?
You can find a detailed procedure to find GCD of 463, 478, 11, 561 on our page.
3. How to find GCD of 463, 478, 11, 561 on a calculator?
You can find the GCD of 463, 478, 11, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.