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 505, 797, 432, 412 i.e. 1 largest integer that divides all the numbers equally.
GCD of 505, 797, 432, 412 is 1
GCD(505, 797, 432, 412) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 505, 797, 432, 412 is 1
GCD(505, 797, 432, 412) = 1
Given Input numbers are 505, 797, 432, 412
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 505
List of positive integer divisors of 505 that divides 505 without a remainder.
1, 5, 101, 505
Divisors of 797
List of positive integer divisors of 797 that divides 797 without a remainder.
1, 797
Divisors of 432
List of positive integer divisors of 432 that divides 432 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Greatest Common Divisior
We found the divisors of 505, 797, 432, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 797, 432, 412 is 1.
Therefore, GCD of numbers 505, 797, 432, 412 is 1
Given Input Data is 505, 797, 432, 412
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 505 is 5 x 101
Prime Factorization of 797 is 797
Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 412 is 2 x 2 x 103
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(505, 797) = 402485
GCD(505, 797) = ( 505 x 797 ) / 402485
GCD(505, 797) = 402485 / 402485
GCD(505, 797) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 432
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 432) = 432
GCD(1, 432) = ( 1 x 432 ) / 432
GCD(1, 432) = 432 / 432
GCD(1, 432) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 412
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 412) = 412
GCD(1, 412) = ( 1 x 412 ) / 412
GCD(1, 412) = 412 / 412
GCD(1, 412) = 1
GCD of 505, 797, 432, 412 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 505, 797, 432, 412?
GCD of 505, 797, 432, 412 is 1
2. Where do I get the detailed procedure to find GCD of 505, 797, 432, 412?
You can find a detailed procedure to find GCD of 505, 797, 432, 412 on our page.
3. How to find GCD of 505, 797, 432, 412 on a calculator?
You can find the GCD of 505, 797, 432, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.