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 786, 386, 938 i.e. 2 largest integer that divides all the numbers equally.
GCD of 786, 386, 938 is 2
GCD(786, 386, 938) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 786, 386, 938 is 2
GCD(786, 386, 938) = 2
Given Input numbers are 786, 386, 938
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 786
List of positive integer divisors of 786 that divides 786 without a remainder.
1, 2, 3, 6, 131, 262, 393, 786
Divisors of 386
List of positive integer divisors of 386 that divides 386 without a remainder.
1, 2, 193, 386
Divisors of 938
List of positive integer divisors of 938 that divides 938 without a remainder.
1, 2, 7, 14, 67, 134, 469, 938
Greatest Common Divisior
We found the divisors of 786, 386, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 786, 386, 938 is 2.
Therefore, GCD of numbers 786, 386, 938 is 2
Given Input Data is 786, 386, 938
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 786 is 2 x 3 x 131
Prime Factorization of 386 is 2 x 193
Prime Factorization of 938 is 2 x 7 x 67
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(786, 386) = 151698
GCD(786, 386) = ( 786 x 386 ) / 151698
GCD(786, 386) = 303396 / 151698
GCD(786, 386) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 938
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 938) = 938
GCD(2, 938) = ( 2 x 938 ) / 938
GCD(2, 938) = 1876 / 938
GCD(2, 938) = 2
GCD of 786, 386, 938 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 786, 386, 938?
GCD of 786, 386, 938 is 2
2. Where do I get the detailed procedure to find GCD of 786, 386, 938?
You can find a detailed procedure to find GCD of 786, 386, 938 on our page.
3. How to find GCD of 786, 386, 938 on a calculator?
You can find the GCD of 786, 386, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.