GCD of 916, 642, 75, 306 Calculator

Given Input numbers are 916, 642, 75, 306

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 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Greatest Common Divisior

We found the divisors of 916, 642, 75, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 642, 75, 306 is 1.

Therefore, GCD of numbers 916, 642, 75, 306 is 1

Given Input Data is 916, 642, 75, 306

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 642 is 2 x 3 x 107

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 306 is 2 x 3 x 3 x 17

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, 642) = 294036

GCD(916, 642) = ( 916 x 642 ) / 294036

GCD(916, 642) = 588072 / 294036

GCD(916, 642) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 75

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

LCM(2, 75) = 150

GCD(2, 75) = ( 2 x 75 ) / 150

GCD(2, 75) = 150 / 150

GCD(2, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 306

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

LCM(1, 306) = 306

GCD(1, 306) = ( 1 x 306 ) / 306

GCD(1, 306) = 306 / 306

GCD(1, 306) = 1

GCD of 916, 642, 75, 306 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 907, 589, 91, 692
• GCD of 277, 144, 74, 777
• GCD of 452, 932, 59, 115
• GCD of 525, 822, 76, 701
• GCD of 460, 299, 25, 662

1. What is the GCD of 916, 642, 75, 306?

GCD of 916, 642, 75, 306 is 1

2. Where do I get the detailed procedure to find GCD of 916, 642, 75, 306?

You can find a detailed procedure to find GCD of 916, 642, 75, 306 on our page.

3. How to find GCD of 916, 642, 75, 306 on a calculator?

You can find the GCD of 916, 642, 75, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.