GCD of 108, 656, 707, 306 Calculator

Given Input numbers are 108, 656, 707, 306

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

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 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

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 108, 656, 707, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 656, 707, 306 is 1.

Therefore, GCD of numbers 108, 656, 707, 306 is 1

Given Input Data is 108, 656, 707, 306

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

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

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 707 is 7 x 101

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(108, 656) = 17712

GCD(108, 656) = ( 108 x 656 ) / 17712

GCD(108, 656) = 70848 / 17712

GCD(108, 656) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 707

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

LCM(4, 707) = 2828

GCD(4, 707) = ( 4 x 707 ) / 2828

GCD(4, 707) = 2828 / 2828

GCD(4, 707) = 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 108, 656, 707, 306 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 495, 619, 354, 382
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• GCD of 219, 563, 157, 557

1. What is the GCD of 108, 656, 707, 306?

GCD of 108, 656, 707, 306 is 1

2. Where do I get the detailed procedure to find GCD of 108, 656, 707, 306?

You can find a detailed procedure to find GCD of 108, 656, 707, 306 on our page.

3. How to find GCD of 108, 656, 707, 306 on a calculator?

You can find the GCD of 108, 656, 707, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.