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 396, 403, 435, 969 i.e. 1 largest integer that divides all the numbers equally.
GCD of 396, 403, 435, 969 is 1
GCD(396, 403, 435, 969) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 396, 403, 435, 969 is 1
GCD(396, 403, 435, 969) = 1
Given Input numbers are 396, 403, 435, 969
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 403
List of positive integer divisors of 403 that divides 403 without a remainder.
1, 13, 31, 403
Divisors of 435
List of positive integer divisors of 435 that divides 435 without a remainder.
1, 3, 5, 15, 29, 87, 145, 435
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Greatest Common Divisior
We found the divisors of 396, 403, 435, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 403, 435, 969 is 1.
Therefore, GCD of numbers 396, 403, 435, 969 is 1
Given Input Data is 396, 403, 435, 969
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 403 is 13 x 31
Prime Factorization of 435 is 3 x 5 x 29
Prime Factorization of 969 is 3 x 17 x 19
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(396, 403) = 159588
GCD(396, 403) = ( 396 x 403 ) / 159588
GCD(396, 403) = 159588 / 159588
GCD(396, 403) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 435
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 435) = 435
GCD(1, 435) = ( 1 x 435 ) / 435
GCD(1, 435) = 435 / 435
GCD(1, 435) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 969
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 969) = 969
GCD(1, 969) = ( 1 x 969 ) / 969
GCD(1, 969) = 969 / 969
GCD(1, 969) = 1
GCD of 396, 403, 435, 969 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 396, 403, 435, 969?
GCD of 396, 403, 435, 969 is 1
2. Where do I get the detailed procedure to find GCD of 396, 403, 435, 969?
You can find a detailed procedure to find GCD of 396, 403, 435, 969 on our page.
3. How to find GCD of 396, 403, 435, 969 on a calculator?
You can find the GCD of 396, 403, 435, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.