GCD of 300, 334, 83, 355 Calculator

Given Input numbers are 300, 334, 83, 355

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

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 300, 334, 83, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 334, 83, 355 is 1.

Therefore, GCD of numbers 300, 334, 83, 355 is 1

Given Input Data is 300, 334, 83, 355

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

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 334 is 2 x 167

Prime Factorization of 83 is 83

Prime Factorization of 355 is 5 x 71

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(300, 334) = 50100

GCD(300, 334) = ( 300 x 334 ) / 50100

GCD(300, 334) = 100200 / 50100

GCD(300, 334) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 83

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

LCM(2, 83) = 166

GCD(2, 83) = ( 2 x 83 ) / 166

GCD(2, 83) = 166 / 166

GCD(2, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 355

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

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

GCD(1, 355) = 355 / 355

GCD(1, 355) = 1

GCD of 300, 334, 83, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 677, 450, 68, 624
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• GCD of 430, 264, 19, 970
• GCD of 298, 377, 23, 764
• GCD of 903, 721, 26, 825

1. What is the GCD of 300, 334, 83, 355?

GCD of 300, 334, 83, 355 is 1

2. Where do I get the detailed procedure to find GCD of 300, 334, 83, 355?

You can find a detailed procedure to find GCD of 300, 334, 83, 355 on our page.

3. How to find GCD of 300, 334, 83, 355 on a calculator?

You can find the GCD of 300, 334, 83, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.