GCD of 268, 378, 789 Calculator

Given Input numbers are 268, 378, 789

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

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 268, 378, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 378, 789 is 1.

Therefore, GCD of numbers 268, 378, 789 is 1

Given Input Data is 268, 378, 789

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

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(268, 378) = 50652

GCD(268, 378) = ( 268 x 378 ) / 50652

GCD(268, 378) = 101304 / 50652

GCD(268, 378) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 789

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 789) = 1578

GCD(2, 789) = ( 2 x 789 ) / 1578

GCD(2, 789) = 1578 / 1578

GCD(2, 789) = 1

GCD of 268, 378, 789 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 785, 162, 548
• GCD of 404, 959, 359
• GCD of 659, 166, 895
• GCD of 749, 196, 290
• GCD of 495, 647, 862

1. What is the GCD of 268, 378, 789?

GCD of 268, 378, 789 is 1

2. Where do I get the detailed procedure to find GCD of 268, 378, 789?

You can find a detailed procedure to find GCD of 268, 378, 789 on our page.

3. How to find GCD of 268, 378, 789 on a calculator?

You can find the GCD of 268, 378, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.