GCD of 916, 108, 289, 386 Calculator

Given Input numbers are 916, 108, 289, 386

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

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Greatest Common Divisior

We found the divisors of 916, 108, 289, 386 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 108, 289, 386 is 1.

Therefore, GCD of numbers 916, 108, 289, 386 is 1

Given Input Data is 916, 108, 289, 386

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

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 289 is 17 x 17

Prime Factorization of 386 is 2 x 193

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(916, 108) = 24732

GCD(916, 108) = ( 916 x 108 ) / 24732

GCD(916, 108) = 98928 / 24732

GCD(916, 108) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 289

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

LCM(4, 289) = 1156

GCD(4, 289) = ( 4 x 289 ) / 1156

GCD(4, 289) = 1156 / 1156

GCD(4, 289) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 386

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

LCM(1, 386) = 386

GCD(1, 386) = ( 1 x 386 ) / 386

GCD(1, 386) = 386 / 386

GCD(1, 386) = 1

GCD of 916, 108, 289, 386 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 471, 294, 574, 329
• GCD of 676, 600, 404, 270
• GCD of 764, 382, 750, 889
• GCD of 762, 711, 264, 441
• GCD of 517, 712, 375, 775

1. What is the GCD of 916, 108, 289, 386?

GCD of 916, 108, 289, 386 is 1

2. Where do I get the detailed procedure to find GCD of 916, 108, 289, 386?

You can find a detailed procedure to find GCD of 916, 108, 289, 386 on our page.

3. How to find GCD of 916, 108, 289, 386 on a calculator?

You can find the GCD of 916, 108, 289, 386 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.