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, 543, 808, 944 i.e. 1 largest integer that divides all the numbers equally.
GCD of 501, 543, 808, 944 is 1
GCD(501, 543, 808, 944) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 501, 543, 808, 944 is 1
GCD(501, 543, 808, 944) = 1
Given Input numbers are 501, 543, 808, 944
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 543
List of positive integer divisors of 543 that divides 543 without a remainder.
1, 3, 181, 543
Divisors of 808
List of positive integer divisors of 808 that divides 808 without a remainder.
1, 2, 4, 8, 101, 202, 404, 808
Divisors of 944
List of positive integer divisors of 944 that divides 944 without a remainder.
1, 2, 4, 8, 16, 59, 118, 236, 472, 944
Greatest Common Divisior
We found the divisors of 501, 543, 808, 944 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 543, 808, 944 is 1.
Therefore, GCD of numbers 501, 543, 808, 944 is 1
Given Input Data is 501, 543, 808, 944
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 501 is 3 x 167
Prime Factorization of 543 is 3 x 181
Prime Factorization of 808 is 2 x 2 x 2 x 101
Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59
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, 543) = 90681
GCD(501, 543) = ( 501 x 543 ) / 90681
GCD(501, 543) = 272043 / 90681
GCD(501, 543) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 808
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 808) = 2424
GCD(3, 808) = ( 3 x 808 ) / 2424
GCD(3, 808) = 2424 / 2424
GCD(3, 808) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 944
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 944) = 944
GCD(1, 944) = ( 1 x 944 ) / 944
GCD(1, 944) = 944 / 944
GCD(1, 944) = 1
GCD of 501, 543, 808, 944 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 501, 543, 808, 944?
GCD of 501, 543, 808, 944 is 1
2. Where do I get the detailed procedure to find GCD of 501, 543, 808, 944?
You can find a detailed procedure to find GCD of 501, 543, 808, 944 on our page.
3. How to find GCD of 501, 543, 808, 944 on a calculator?
You can find the GCD of 501, 543, 808, 944 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.