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, 664, 45, 604 i.e. 1 largest integer that divides all the numbers equally.
GCD of 501, 664, 45, 604 is 1
GCD(501, 664, 45, 604) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 501, 664, 45, 604 is 1
GCD(501, 664, 45, 604) = 1
Given Input numbers are 501, 664, 45, 604
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 664
List of positive integer divisors of 664 that divides 664 without a remainder.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 604
List of positive integer divisors of 604 that divides 604 without a remainder.
1, 2, 4, 151, 302, 604
Greatest Common Divisior
We found the divisors of 501, 664, 45, 604 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 664, 45, 604 is 1.
Therefore, GCD of numbers 501, 664, 45, 604 is 1
Given Input Data is 501, 664, 45, 604
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 501 is 3 x 167
Prime Factorization of 664 is 2 x 2 x 2 x 83
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 604 is 2 x 2 x 151
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, 664) = 332664
GCD(501, 664) = ( 501 x 664 ) / 332664
GCD(501, 664) = 332664 / 332664
GCD(501, 664) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 45) = 45
GCD(1, 45) = ( 1 x 45 ) / 45
GCD(1, 45) = 45 / 45
GCD(1, 45) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 604
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 604) = 604
GCD(1, 604) = ( 1 x 604 ) / 604
GCD(1, 604) = 604 / 604
GCD(1, 604) = 1
GCD of 501, 664, 45, 604 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 501, 664, 45, 604?
GCD of 501, 664, 45, 604 is 1
2. Where do I get the detailed procedure to find GCD of 501, 664, 45, 604?
You can find a detailed procedure to find GCD of 501, 664, 45, 604 on our page.
3. How to find GCD of 501, 664, 45, 604 on a calculator?
You can find the GCD of 501, 664, 45, 604 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.