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 521, 470, 66, 477 i.e. 1 largest integer that divides all the numbers equally.
GCD of 521, 470, 66, 477 is 1
GCD(521, 470, 66, 477) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 521, 470, 66, 477 is 1
GCD(521, 470, 66, 477) = 1
Given Input numbers are 521, 470, 66, 477
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 521
List of positive integer divisors of 521 that divides 521 without a remainder.
1, 521
Divisors of 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 477
List of positive integer divisors of 477 that divides 477 without a remainder.
1, 3, 9, 53, 159, 477
Greatest Common Divisior
We found the divisors of 521, 470, 66, 477 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 521, 470, 66, 477 is 1.
Therefore, GCD of numbers 521, 470, 66, 477 is 1
Given Input Data is 521, 470, 66, 477
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 521 is 521
Prime Factorization of 470 is 2 x 5 x 47
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 477 is 3 x 3 x 53
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(521, 470) = 244870
GCD(521, 470) = ( 521 x 470 ) / 244870
GCD(521, 470) = 244870 / 244870
GCD(521, 470) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 66) = 66
GCD(1, 66) = ( 1 x 66 ) / 66
GCD(1, 66) = 66 / 66
GCD(1, 66) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 477
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 477) = 477
GCD(1, 477) = ( 1 x 477 ) / 477
GCD(1, 477) = 477 / 477
GCD(1, 477) = 1
GCD of 521, 470, 66, 477 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 521, 470, 66, 477?
GCD of 521, 470, 66, 477 is 1
2. Where do I get the detailed procedure to find GCD of 521, 470, 66, 477?
You can find a detailed procedure to find GCD of 521, 470, 66, 477 on our page.
3. How to find GCD of 521, 470, 66, 477 on a calculator?
You can find the GCD of 521, 470, 66, 477 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.