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, 138, 304, 833 i.e. 1 largest integer that divides all the numbers equally.
GCD of 501, 138, 304, 833 is 1
GCD(501, 138, 304, 833) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 501, 138, 304, 833 is 1
GCD(501, 138, 304, 833) = 1
Given Input numbers are 501, 138, 304, 833
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 138
List of positive integer divisors of 138 that divides 138 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 833
List of positive integer divisors of 833 that divides 833 without a remainder.
1, 7, 17, 49, 119, 833
Greatest Common Divisior
We found the divisors of 501, 138, 304, 833 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 138, 304, 833 is 1.
Therefore, GCD of numbers 501, 138, 304, 833 is 1
Given Input Data is 501, 138, 304, 833
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 501 is 3 x 167
Prime Factorization of 138 is 2 x 3 x 23
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
Prime Factorization of 833 is 7 x 7 x 17
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, 138) = 23046
GCD(501, 138) = ( 501 x 138 ) / 23046
GCD(501, 138) = 69138 / 23046
GCD(501, 138) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 304
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 304) = 912
GCD(3, 304) = ( 3 x 304 ) / 912
GCD(3, 304) = 912 / 912
GCD(3, 304) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 833
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 833) = 833
GCD(1, 833) = ( 1 x 833 ) / 833
GCD(1, 833) = 833 / 833
GCD(1, 833) = 1
GCD of 501, 138, 304, 833 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 501, 138, 304, 833?
GCD of 501, 138, 304, 833 is 1
2. Where do I get the detailed procedure to find GCD of 501, 138, 304, 833?
You can find a detailed procedure to find GCD of 501, 138, 304, 833 on our page.
3. How to find GCD of 501, 138, 304, 833 on a calculator?
You can find the GCD of 501, 138, 304, 833 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.