GCD of 312, 488, 179, 653 Calculator

Given Input numbers are 312, 488, 179, 653

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 179

List of positive integer divisors of 179 that divides 179 without a remainder.

1, 179

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Greatest Common Divisior

We found the divisors of 312, 488, 179, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 488, 179, 653 is 1.

Therefore, GCD of numbers 312, 488, 179, 653 is 1

Given Input Data is 312, 488, 179, 653

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 179 is 179

Prime Factorization of 653 is 653

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(312, 488) = 19032

GCD(312, 488) = ( 312 x 488 ) / 19032

GCD(312, 488) = 152256 / 19032

GCD(312, 488) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 179

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

LCM(8, 179) = 1432

GCD(8, 179) = ( 8 x 179 ) / 1432

GCD(8, 179) = 1432 / 1432

GCD(8, 179) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 653

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

LCM(1, 653) = 653

GCD(1, 653) = ( 1 x 653 ) / 653

GCD(1, 653) = 653 / 653

GCD(1, 653) = 1

GCD of 312, 488, 179, 653 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 742, 802, 558, 373
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• GCD of 639, 704, 288, 960

1. What is the GCD of 312, 488, 179, 653?

GCD of 312, 488, 179, 653 is 1

2. Where do I get the detailed procedure to find GCD of 312, 488, 179, 653?

You can find a detailed procedure to find GCD of 312, 488, 179, 653 on our page.

3. How to find GCD of 312, 488, 179, 653 on a calculator?

You can find the GCD of 312, 488, 179, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.