GCD of 59, 394, 100, 306 Calculator

Given Input numbers are 59, 394, 100, 306

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

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

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 59, 394, 100, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 394, 100, 306 is 1.

Therefore, GCD of numbers 59, 394, 100, 306 is 1

Given Input Data is 59, 394, 100, 306

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

Prime Factorization of 59 is 59

Prime Factorization of 394 is 2 x 197

Prime Factorization of 100 is 2 x 2 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(59, 394) = 23246

GCD(59, 394) = ( 59 x 394 ) / 23246

GCD(59, 394) = 23246 / 23246

GCD(59, 394) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 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 59, 394, 100, 306 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 94, 159, 878, 356
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• GCD of 37, 765, 754, 905

1. What is the GCD of 59, 394, 100, 306?

GCD of 59, 394, 100, 306 is 1

2. Where do I get the detailed procedure to find GCD of 59, 394, 100, 306?

You can find a detailed procedure to find GCD of 59, 394, 100, 306 on our page.

3. How to find GCD of 59, 394, 100, 306 on a calculator?

You can find the GCD of 59, 394, 100, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.