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 505, 470, 643, 473 i.e. 1 largest integer that divides all the numbers equally.
GCD of 505, 470, 643, 473 is 1
GCD(505, 470, 643, 473) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 505, 470, 643, 473 is 1
GCD(505, 470, 643, 473) = 1
Given Input numbers are 505, 470, 643, 473
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 505
List of positive integer divisors of 505 that divides 505 without a remainder.
1, 5, 101, 505
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 643
List of positive integer divisors of 643 that divides 643 without a remainder.
1, 643
Divisors of 473
List of positive integer divisors of 473 that divides 473 without a remainder.
1, 11, 43, 473
Greatest Common Divisior
We found the divisors of 505, 470, 643, 473 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 470, 643, 473 is 1.
Therefore, GCD of numbers 505, 470, 643, 473 is 1
Given Input Data is 505, 470, 643, 473
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 505 is 5 x 101
Prime Factorization of 470 is 2 x 5 x 47
Prime Factorization of 643 is 643
Prime Factorization of 473 is 11 x 43
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(505, 470) = 47470
GCD(505, 470) = ( 505 x 470 ) / 47470
GCD(505, 470) = 237350 / 47470
GCD(505, 470) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 643
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 643) = 3215
GCD(5, 643) = ( 5 x 643 ) / 3215
GCD(5, 643) = 3215 / 3215
GCD(5, 643) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 473
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 473) = 473
GCD(1, 473) = ( 1 x 473 ) / 473
GCD(1, 473) = 473 / 473
GCD(1, 473) = 1
GCD of 505, 470, 643, 473 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 505, 470, 643, 473?
GCD of 505, 470, 643, 473 is 1
2. Where do I get the detailed procedure to find GCD of 505, 470, 643, 473?
You can find a detailed procedure to find GCD of 505, 470, 643, 473 on our page.
3. How to find GCD of 505, 470, 643, 473 on a calculator?
You can find the GCD of 505, 470, 643, 473 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.