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 512, 474, 11, 421 i.e. 1 largest integer that divides all the numbers equally.
GCD of 512, 474, 11, 421 is 1
GCD(512, 474, 11, 421) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 512, 474, 11, 421 is 1
GCD(512, 474, 11, 421) = 1
Given Input numbers are 512, 474, 11, 421
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 512
List of positive integer divisors of 512 that divides 512 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Divisors of 474
List of positive integer divisors of 474 that divides 474 without a remainder.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 421
List of positive integer divisors of 421 that divides 421 without a remainder.
1, 421
Greatest Common Divisior
We found the divisors of 512, 474, 11, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 474, 11, 421 is 1.
Therefore, GCD of numbers 512, 474, 11, 421 is 1
Given Input Data is 512, 474, 11, 421
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 474 is 2 x 3 x 79
Prime Factorization of 11 is 11
Prime Factorization of 421 is 421
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(512, 474) = 121344
GCD(512, 474) = ( 512 x 474 ) / 121344
GCD(512, 474) = 242688 / 121344
GCD(512, 474) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 11) = 22
GCD(2, 11) = ( 2 x 11 ) / 22
GCD(2, 11) = 22 / 22
GCD(2, 11) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 421
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 421) = 421
GCD(1, 421) = ( 1 x 421 ) / 421
GCD(1, 421) = 421 / 421
GCD(1, 421) = 1
GCD of 512, 474, 11, 421 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 512, 474, 11, 421?
GCD of 512, 474, 11, 421 is 1
2. Where do I get the detailed procedure to find GCD of 512, 474, 11, 421?
You can find a detailed procedure to find GCD of 512, 474, 11, 421 on our page.
3. How to find GCD of 512, 474, 11, 421 on a calculator?
You can find the GCD of 512, 474, 11, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.