GCD of 672, 705, 300 Calculator

Given Input numbers are 672, 705, 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 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

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, 705, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 672, 705, 300 is 3.

Therefore, GCD of numbers 672, 705, 300 is 3

Given Input Data is 672, 705, 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 705 is 3 x 5 x 47

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 705) = 157920

GCD(672, 705) = ( 672 x 705 ) / 157920

GCD(672, 705) = 473760 / 157920

GCD(672, 705) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 300

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

LCM(3, 300) = 300

GCD(3, 300) = ( 3 x 300 ) / 300

GCD(3, 300) = 900 / 300

GCD(3, 300) = 3

GCD of 672, 705, 300 is 3

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1. What is the GCD of 672, 705, 300?

GCD of 672, 705, 300 is 3

2. Where do I get the detailed procedure to find GCD of 672, 705, 300?

You can find a detailed procedure to find GCD of 672, 705, 300 on our page.

3. How to find GCD of 672, 705, 300 on a calculator?

You can find the GCD of 672, 705, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.