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 638, 834, 15, 789 i.e. 1 largest integer that divides all the numbers equally.
GCD of 638, 834, 15, 789 is 1
GCD(638, 834, 15, 789) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 638, 834, 15, 789 is 1
GCD(638, 834, 15, 789) = 1
Given Input numbers are 638, 834, 15, 789
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 638
List of positive integer divisors of 638 that divides 638 without a remainder.
1, 2, 11, 22, 29, 58, 319, 638
Divisors of 834
List of positive integer divisors of 834 that divides 834 without a remainder.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Greatest Common Divisior
We found the divisors of 638, 834, 15, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 638, 834, 15, 789 is 1.
Therefore, GCD of numbers 638, 834, 15, 789 is 1
Given Input Data is 638, 834, 15, 789
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 638 is 2 x 11 x 29
Prime Factorization of 834 is 2 x 3 x 139
Prime Factorization of 15 is 3 x 5
Prime Factorization of 789 is 3 x 263
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(638, 834) = 266046
GCD(638, 834) = ( 638 x 834 ) / 266046
GCD(638, 834) = 532092 / 266046
GCD(638, 834) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 15) = 30
GCD(2, 15) = ( 2 x 15 ) / 30
GCD(2, 15) = 30 / 30
GCD(2, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 789
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 789) = 789
GCD(1, 789) = ( 1 x 789 ) / 789
GCD(1, 789) = 789 / 789
GCD(1, 789) = 1
GCD of 638, 834, 15, 789 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 638, 834, 15, 789?
GCD of 638, 834, 15, 789 is 1
2. Where do I get the detailed procedure to find GCD of 638, 834, 15, 789?
You can find a detailed procedure to find GCD of 638, 834, 15, 789 on our page.
3. How to find GCD of 638, 834, 15, 789 on a calculator?
You can find the GCD of 638, 834, 15, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.