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 501, 457, 73, 824 i.e. 1 largest integer that divides all the numbers equally.
GCD of 501, 457, 73, 824 is 1
GCD(501, 457, 73, 824) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 501, 457, 73, 824 is 1
GCD(501, 457, 73, 824) = 1
Given Input numbers are 501, 457, 73, 824
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Divisors of 457
List of positive integer divisors of 457 that divides 457 without a remainder.
1, 457
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Greatest Common Divisior
We found the divisors of 501, 457, 73, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 457, 73, 824 is 1.
Therefore, GCD of numbers 501, 457, 73, 824 is 1
Given Input Data is 501, 457, 73, 824
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 501 is 3 x 167
Prime Factorization of 457 is 457
Prime Factorization of 73 is 73
Prime Factorization of 824 is 2 x 2 x 2 x 103
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(501, 457) = 228957
GCD(501, 457) = ( 501 x 457 ) / 228957
GCD(501, 457) = 228957 / 228957
GCD(501, 457) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 73) = 73
GCD(1, 73) = ( 1 x 73 ) / 73
GCD(1, 73) = 73 / 73
GCD(1, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 824
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 824) = 824
GCD(1, 824) = ( 1 x 824 ) / 824
GCD(1, 824) = 824 / 824
GCD(1, 824) = 1
GCD of 501, 457, 73, 824 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 501, 457, 73, 824?
GCD of 501, 457, 73, 824 is 1
2. Where do I get the detailed procedure to find GCD of 501, 457, 73, 824?
You can find a detailed procedure to find GCD of 501, 457, 73, 824 on our page.
3. How to find GCD of 501, 457, 73, 824 on a calculator?
You can find the GCD of 501, 457, 73, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.