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 405, 533, 792, 370 i.e. 1 largest integer that divides all the numbers equally.
GCD of 405, 533, 792, 370 is 1
GCD(405, 533, 792, 370) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 405, 533, 792, 370 is 1
GCD(405, 533, 792, 370) = 1
Given Input numbers are 405, 533, 792, 370
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 405
List of positive integer divisors of 405 that divides 405 without a remainder.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Divisors of 533
List of positive integer divisors of 533 that divides 533 without a remainder.
1, 13, 41, 533
Divisors of 792
List of positive integer divisors of 792 that divides 792 without a remainder.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 370
List of positive integer divisors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Greatest Common Divisior
We found the divisors of 405, 533, 792, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 405, 533, 792, 370 is 1.
Therefore, GCD of numbers 405, 533, 792, 370 is 1
Given Input Data is 405, 533, 792, 370
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5
Prime Factorization of 533 is 13 x 41
Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11
Prime Factorization of 370 is 2 x 5 x 37
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(405, 533) = 215865
GCD(405, 533) = ( 405 x 533 ) / 215865
GCD(405, 533) = 215865 / 215865
GCD(405, 533) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 792
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 792) = 792
GCD(1, 792) = ( 1 x 792 ) / 792
GCD(1, 792) = 792 / 792
GCD(1, 792) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 370
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 370) = 370
GCD(1, 370) = ( 1 x 370 ) / 370
GCD(1, 370) = 370 / 370
GCD(1, 370) = 1
GCD of 405, 533, 792, 370 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 405, 533, 792, 370?
GCD of 405, 533, 792, 370 is 1
2. Where do I get the detailed procedure to find GCD of 405, 533, 792, 370?
You can find a detailed procedure to find GCD of 405, 533, 792, 370 on our page.
3. How to find GCD of 405, 533, 792, 370 on a calculator?
You can find the GCD of 405, 533, 792, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.