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 744, 395, 15, 638 i.e. 1 largest integer that divides all the numbers equally.
GCD of 744, 395, 15, 638 is 1
GCD(744, 395, 15, 638) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 744, 395, 15, 638 is 1
GCD(744, 395, 15, 638) = 1
Given Input numbers are 744, 395, 15, 638
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 744
List of positive integer divisors of 744 that divides 744 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 395
List of positive integer divisors of 395 that divides 395 without a remainder.
1, 5, 79, 395
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 638
List of positive integer divisors of 638 that divides 638 without a remainder.
1, 2, 11, 22, 29, 58, 319, 638
Greatest Common Divisior
We found the divisors of 744, 395, 15, 638 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 395, 15, 638 is 1.
Therefore, GCD of numbers 744, 395, 15, 638 is 1
Given Input Data is 744, 395, 15, 638
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31
Prime Factorization of 395 is 5 x 79
Prime Factorization of 15 is 3 x 5
Prime Factorization of 638 is 2 x 11 x 29
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(744, 395) = 293880
GCD(744, 395) = ( 744 x 395 ) / 293880
GCD(744, 395) = 293880 / 293880
GCD(744, 395) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 15) = 15
GCD(1, 15) = ( 1 x 15 ) / 15
GCD(1, 15) = 15 / 15
GCD(1, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 638
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 638) = 638
GCD(1, 638) = ( 1 x 638 ) / 638
GCD(1, 638) = 638 / 638
GCD(1, 638) = 1
GCD of 744, 395, 15, 638 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 744, 395, 15, 638?
GCD of 744, 395, 15, 638 is 1
2. Where do I get the detailed procedure to find GCD of 744, 395, 15, 638?
You can find a detailed procedure to find GCD of 744, 395, 15, 638 on our page.
3. How to find GCD of 744, 395, 15, 638 on a calculator?
You can find the GCD of 744, 395, 15, 638 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.