GCD of 482, 678, 648, 465 Calculator

Given Input numbers are 482, 678, 648, 465

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

Divisors of 482

List of positive integer divisors of 482 that divides 482 without a remainder.

1, 2, 241, 482

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

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 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Greatest Common Divisior

We found the divisors of 482, 678, 648, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 482, 678, 648, 465 is 1.

Therefore, GCD of numbers 482, 678, 648, 465 is 1

Given Input Data is 482, 678, 648, 465

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

Prime Factorization of 482 is 2 x 241

Prime Factorization of 678 is 2 x 3 x 113

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

Prime Factorization of 465 is 3 x 5 x 31

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(482, 678) = 163398

GCD(482, 678) = ( 482 x 678 ) / 163398

GCD(482, 678) = 326796 / 163398

GCD(482, 678) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 648

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

LCM(2, 648) = 648

GCD(2, 648) = ( 2 x 648 ) / 648

GCD(2, 648) = 1296 / 648

GCD(2, 648) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 465

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

LCM(2, 465) = 930

GCD(2, 465) = ( 2 x 465 ) / 930

GCD(2, 465) = 930 / 930

GCD(2, 465) = 1

GCD of 482, 678, 648, 465 is 1

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1. What is the GCD of 482, 678, 648, 465?

GCD of 482, 678, 648, 465 is 1

2. Where do I get the detailed procedure to find GCD of 482, 678, 648, 465?

You can find a detailed procedure to find GCD of 482, 678, 648, 465 on our page.

3. How to find GCD of 482, 678, 648, 465 on a calculator?

You can find the GCD of 482, 678, 648, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.