GCD of 916, 301, 107 Calculator

Given Input numbers are 916, 301, 107

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 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Greatest Common Divisior

We found the divisors of 916, 301, 107 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 301, 107 is 1.

Therefore, GCD of numbers 916, 301, 107 is 1

Given Input Data is 916, 301, 107

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 301 is 7 x 43

Prime Factorization of 107 is 107

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, 301) = 275716

GCD(916, 301) = ( 916 x 301 ) / 275716

GCD(916, 301) = 275716 / 275716

GCD(916, 301) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 107

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

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

GCD(1, 107) = 107 / 107

GCD(1, 107) = 1

GCD of 916, 301, 107 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 224, 845, 645
• GCD of 575, 855, 598
• GCD of 248, 640, 991
• GCD of 226, 791, 574
• GCD of 604, 423, 745

1. What is the GCD of 916, 301, 107?

GCD of 916, 301, 107 is 1

2. Where do I get the detailed procedure to find GCD of 916, 301, 107?

You can find a detailed procedure to find GCD of 916, 301, 107 on our page.

3. How to find GCD of 916, 301, 107 on a calculator?

You can find the GCD of 916, 301, 107 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.