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 649, 344, 38, 663 i.e. 1 largest integer that divides all the numbers equally.
GCD of 649, 344, 38, 663 is 1
GCD(649, 344, 38, 663) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 649, 344, 38, 663 is 1
GCD(649, 344, 38, 663) = 1
Given Input numbers are 649, 344, 38, 663
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 649
List of positive integer divisors of 649 that divides 649 without a remainder.
1, 11, 59, 649
Divisors of 344
List of positive integer divisors of 344 that divides 344 without a remainder.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 663
List of positive integer divisors of 663 that divides 663 without a remainder.
1, 3, 13, 17, 39, 51, 221, 663
Greatest Common Divisior
We found the divisors of 649, 344, 38, 663 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 649, 344, 38, 663 is 1.
Therefore, GCD of numbers 649, 344, 38, 663 is 1
Given Input Data is 649, 344, 38, 663
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 649 is 11 x 59
Prime Factorization of 344 is 2 x 2 x 2 x 43
Prime Factorization of 38 is 2 x 19
Prime Factorization of 663 is 3 x 13 x 17
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(649, 344) = 223256
GCD(649, 344) = ( 649 x 344 ) / 223256
GCD(649, 344) = 223256 / 223256
GCD(649, 344) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 38) = 38
GCD(1, 38) = ( 1 x 38 ) / 38
GCD(1, 38) = 38 / 38
GCD(1, 38) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 663
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 663) = 663
GCD(1, 663) = ( 1 x 663 ) / 663
GCD(1, 663) = 663 / 663
GCD(1, 663) = 1
GCD of 649, 344, 38, 663 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 649, 344, 38, 663?
GCD of 649, 344, 38, 663 is 1
2. Where do I get the detailed procedure to find GCD of 649, 344, 38, 663?
You can find a detailed procedure to find GCD of 649, 344, 38, 663 on our page.
3. How to find GCD of 649, 344, 38, 663 on a calculator?
You can find the GCD of 649, 344, 38, 663 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.