GCD of 648, 973, 896, 361 Calculator

Given Input numbers are 648, 973, 896, 361

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

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 648, 973, 896, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 973, 896, 361 is 1.

Therefore, GCD of numbers 648, 973, 896, 361 is 1

Given Input Data is 648, 973, 896, 361

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

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 973 is 7 x 139

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 361 is 19 x 19

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(648, 973) = 630504

GCD(648, 973) = ( 648 x 973 ) / 630504

GCD(648, 973) = 630504 / 630504

GCD(648, 973) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 896

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

LCM(1, 896) = 896

GCD(1, 896) = ( 1 x 896 ) / 896

GCD(1, 896) = 896 / 896

GCD(1, 896) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

GCD of 648, 973, 896, 361 is 1

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1. What is the GCD of 648, 973, 896, 361?

GCD of 648, 973, 896, 361 is 1

2. Where do I get the detailed procedure to find GCD of 648, 973, 896, 361?

You can find a detailed procedure to find GCD of 648, 973, 896, 361 on our page.

3. How to find GCD of 648, 973, 896, 361 on a calculator?

You can find the GCD of 648, 973, 896, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.