GCD of 916, 156, 79, 106 Calculator

Given Input numbers are 916, 156, 79, 106

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 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 916, 156, 79, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 156, 79, 106 is 1.

Therefore, GCD of numbers 916, 156, 79, 106 is 1

Given Input Data is 916, 156, 79, 106

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 156 is 2 x 2 x 3 x 13

Prime Factorization of 79 is 79

Prime Factorization of 106 is 2 x 53

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, 156) = 35724

GCD(916, 156) = ( 916 x 156 ) / 35724

GCD(916, 156) = 142896 / 35724

GCD(916, 156) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 79

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

LCM(4, 79) = 316

GCD(4, 79) = ( 4 x 79 ) / 316

GCD(4, 79) = 316 / 316

GCD(4, 79) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

GCD of 916, 156, 79, 106 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 893, 990, 96, 780
• GCD of 806, 982, 53, 245
• GCD of 759, 984, 55, 745
• GCD of 437, 989, 98, 843
• GCD of 503, 875, 21, 398

1. What is the GCD of 916, 156, 79, 106?

GCD of 916, 156, 79, 106 is 1

2. Where do I get the detailed procedure to find GCD of 916, 156, 79, 106?

You can find a detailed procedure to find GCD of 916, 156, 79, 106 on our page.

3. How to find GCD of 916, 156, 79, 106 on a calculator?

You can find the GCD of 916, 156, 79, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.