GCD of 304, 652, 105, 672 Calculator

Given Input numbers are 304, 652, 105, 672

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

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

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

Greatest Common Divisior

We found the divisors of 304, 652, 105, 672 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 652, 105, 672 is 1.

Therefore, GCD of numbers 304, 652, 105, 672 is 1

Given Input Data is 304, 652, 105, 672

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

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 652 is 2 x 2 x 163

Prime Factorization of 105 is 3 x 5 x 7

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

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(304, 652) = 49552

GCD(304, 652) = ( 304 x 652 ) / 49552

GCD(304, 652) = 198208 / 49552

GCD(304, 652) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 105

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

LCM(4, 105) = 420

GCD(4, 105) = ( 4 x 105 ) / 420

GCD(4, 105) = 420 / 420

GCD(4, 105) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 672

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

LCM(1, 672) = 672

GCD(1, 672) = ( 1 x 672 ) / 672

GCD(1, 672) = 672 / 672

GCD(1, 672) = 1

GCD of 304, 652, 105, 672 is 1

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1. What is the GCD of 304, 652, 105, 672?

GCD of 304, 652, 105, 672 is 1

2. Where do I get the detailed procedure to find GCD of 304, 652, 105, 672?

You can find a detailed procedure to find GCD of 304, 652, 105, 672 on our page.

3. How to find GCD of 304, 652, 105, 672 on a calculator?

You can find the GCD of 304, 652, 105, 672 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.