GCD of 648, 416, 307, 475 Calculator

Given Input numbers are 648, 416, 307, 475

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 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Greatest Common Divisior

We found the divisors of 648, 416, 307, 475 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 416, 307, 475 is 1.

Therefore, GCD of numbers 648, 416, 307, 475 is 1

Given Input Data is 648, 416, 307, 475

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 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 307 is 307

Prime Factorization of 475 is 5 x 5 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, 416) = 33696

GCD(648, 416) = ( 648 x 416 ) / 33696

GCD(648, 416) = 269568 / 33696

GCD(648, 416) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 307

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

LCM(8, 307) = 2456

GCD(8, 307) = ( 8 x 307 ) / 2456

GCD(8, 307) = 2456 / 2456

GCD(8, 307) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 475

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

LCM(1, 475) = 475

GCD(1, 475) = ( 1 x 475 ) / 475

GCD(1, 475) = 475 / 475

GCD(1, 475) = 1

GCD of 648, 416, 307, 475 is 1

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1. What is the GCD of 648, 416, 307, 475?

GCD of 648, 416, 307, 475 is 1

2. Where do I get the detailed procedure to find GCD of 648, 416, 307, 475?

You can find a detailed procedure to find GCD of 648, 416, 307, 475 on our page.

3. How to find GCD of 648, 416, 307, 475 on a calculator?

You can find the GCD of 648, 416, 307, 475 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.