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 663, 407, 65, 398 i.e. 1 largest integer that divides all the numbers equally.
GCD of 663, 407, 65, 398 is 1
GCD(663, 407, 65, 398) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 663, 407, 65, 398 is 1
GCD(663, 407, 65, 398) = 1
Given Input numbers are 663, 407, 65, 398
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 663
List of positive integer divisors of 663 that divides 663 without a remainder.
1, 3, 13, 17, 39, 51, 221, 663
Divisors of 407
List of positive integer divisors of 407 that divides 407 without a remainder.
1, 11, 37, 407
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 398
List of positive integer divisors of 398 that divides 398 without a remainder.
1, 2, 199, 398
Greatest Common Divisior
We found the divisors of 663, 407, 65, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 663, 407, 65, 398 is 1.
Therefore, GCD of numbers 663, 407, 65, 398 is 1
Given Input Data is 663, 407, 65, 398
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 663 is 3 x 13 x 17
Prime Factorization of 407 is 11 x 37
Prime Factorization of 65 is 5 x 13
Prime Factorization of 398 is 2 x 199
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(663, 407) = 269841
GCD(663, 407) = ( 663 x 407 ) / 269841
GCD(663, 407) = 269841 / 269841
GCD(663, 407) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 65) = 65
GCD(1, 65) = ( 1 x 65 ) / 65
GCD(1, 65) = 65 / 65
GCD(1, 65) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 398
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 398) = 398
GCD(1, 398) = ( 1 x 398 ) / 398
GCD(1, 398) = 398 / 398
GCD(1, 398) = 1
GCD of 663, 407, 65, 398 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 663, 407, 65, 398?
GCD of 663, 407, 65, 398 is 1
2. Where do I get the detailed procedure to find GCD of 663, 407, 65, 398?
You can find a detailed procedure to find GCD of 663, 407, 65, 398 on our page.
3. How to find GCD of 663, 407, 65, 398 on a calculator?
You can find the GCD of 663, 407, 65, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.