GCD of 672, 519, 56, 300 Calculator

Given Input numbers are 672, 519, 56, 300

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

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

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 672, 519, 56, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 672, 519, 56, 300 is 1.

Therefore, GCD of numbers 672, 519, 56, 300 is 1

Given Input Data is 672, 519, 56, 300

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

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 519 is 3 x 173

Prime Factorization of 56 is 2 x 2 x 2 x 7

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(672, 519) = 116256

GCD(672, 519) = ( 672 x 519 ) / 116256

GCD(672, 519) = 348768 / 116256

GCD(672, 519) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 56

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

LCM(3, 56) = 168

GCD(3, 56) = ( 3 x 56 ) / 168

GCD(3, 56) = 168 / 168

GCD(3, 56) = 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 672, 519, 56, 300 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 689, 432, 29, 281
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• GCD of 458, 474, 65, 206

1. What is the GCD of 672, 519, 56, 300?

GCD of 672, 519, 56, 300 is 1

2. Where do I get the detailed procedure to find GCD of 672, 519, 56, 300?

You can find a detailed procedure to find GCD of 672, 519, 56, 300 on our page.

3. How to find GCD of 672, 519, 56, 300 on a calculator?

You can find the GCD of 672, 519, 56, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.