GCD of 108, 332, 83, 300 Calculator

Given Input numbers are 108, 332, 83, 300

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 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Divisors of 83

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

1, 83

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

Greatest Common Divisior

We found the divisors of 108, 332, 83, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 332, 83, 300 is 1.

Therefore, GCD of numbers 108, 332, 83, 300 is 1

Given Input Data is 108, 332, 83, 300

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 332 is 2 x 2 x 83

Prime Factorization of 83 is 83

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

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, 332) = 8964

GCD(108, 332) = ( 108 x 332 ) / 8964

GCD(108, 332) = 35856 / 8964

GCD(108, 332) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 83

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

LCM(4, 83) = 332

GCD(4, 83) = ( 4 x 83 ) / 332

GCD(4, 83) = 332 / 332

GCD(4, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 300

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

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

GCD(1, 300) = 300 / 300

GCD(1, 300) = 1

GCD of 108, 332, 83, 300 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 480, 682, 44, 792
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• GCD of 794, 544, 92, 849
• GCD of 923, 638, 68, 709

1. What is the GCD of 108, 332, 83, 300?

GCD of 108, 332, 83, 300 is 1

2. Where do I get the detailed procedure to find GCD of 108, 332, 83, 300?

You can find a detailed procedure to find GCD of 108, 332, 83, 300 on our page.

3. How to find GCD of 108, 332, 83, 300 on a calculator?

You can find the GCD of 108, 332, 83, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.