GCD of 786, 386, 938 Calculator

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

GCD of numbers 786, 386, 938 is 2

GCD(786, 386, 938) = 2

GCD of 786,386,938 Calculator

GCDof 786,386,938 is 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

Finding GCD of 786, 386, 938 using Prime Factorization

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

Finding GCD of 786, 386, 938 using LCM Formula

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

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 786, 386, 938

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.