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 506, 232, 40, 801 i.e. 1 largest integer that divides all the numbers equally.
GCD of 506, 232, 40, 801 is 1
GCD(506, 232, 40, 801) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 506, 232, 40, 801 is 1
GCD(506, 232, 40, 801) = 1
Given Input numbers are 506, 232, 40, 801
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 506
List of positive integer divisors of 506 that divides 506 without a remainder.
1, 2, 11, 22, 23, 46, 253, 506
Divisors of 232
List of positive integer divisors of 232 that divides 232 without a remainder.
1, 2, 4, 8, 29, 58, 116, 232
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 801
List of positive integer divisors of 801 that divides 801 without a remainder.
1, 3, 9, 89, 267, 801
Greatest Common Divisior
We found the divisors of 506, 232, 40, 801 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 232, 40, 801 is 1.
Therefore, GCD of numbers 506, 232, 40, 801 is 1
Given Input Data is 506, 232, 40, 801
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 506 is 2 x 11 x 23
Prime Factorization of 232 is 2 x 2 x 2 x 29
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 801 is 3 x 3 x 89
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(506, 232) = 58696
GCD(506, 232) = ( 506 x 232 ) / 58696
GCD(506, 232) = 117392 / 58696
GCD(506, 232) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 40) = 40
GCD(2, 40) = ( 2 x 40 ) / 40
GCD(2, 40) = 80 / 40
GCD(2, 40) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 801
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 801) = 1602
GCD(2, 801) = ( 2 x 801 ) / 1602
GCD(2, 801) = 1602 / 1602
GCD(2, 801) = 1
GCD of 506, 232, 40, 801 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 506, 232, 40, 801?
GCD of 506, 232, 40, 801 is 1
2. Where do I get the detailed procedure to find GCD of 506, 232, 40, 801?
You can find a detailed procedure to find GCD of 506, 232, 40, 801 on our page.
3. How to find GCD of 506, 232, 40, 801 on a calculator?
You can find the GCD of 506, 232, 40, 801 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.