GCD of 478, 169, 473, 648 Calculator

Given Input numbers are 478, 169, 473, 648

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

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

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

Greatest Common Divisior

We found the divisors of 478, 169, 473, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 478, 169, 473, 648 is 1.

Therefore, GCD of numbers 478, 169, 473, 648 is 1

Given Input Data is 478, 169, 473, 648

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

Prime Factorization of 478 is 2 x 239

Prime Factorization of 169 is 13 x 13

Prime Factorization of 473 is 11 x 43

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

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(478, 169) = 80782

GCD(478, 169) = ( 478 x 169 ) / 80782

GCD(478, 169) = 80782 / 80782

GCD(478, 169) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 473

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

LCM(1, 473) = 473

GCD(1, 473) = ( 1 x 473 ) / 473

GCD(1, 473) = 473 / 473

GCD(1, 473) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 648

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

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

GCD(1, 648) = 648 / 648

GCD(1, 648) = 1

GCD of 478, 169, 473, 648 is 1

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1. What is the GCD of 478, 169, 473, 648?

GCD of 478, 169, 473, 648 is 1

2. Where do I get the detailed procedure to find GCD of 478, 169, 473, 648?

You can find a detailed procedure to find GCD of 478, 169, 473, 648 on our page.

3. How to find GCD of 478, 169, 473, 648 on a calculator?

You can find the GCD of 478, 169, 473, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.