GCD of 314, 567, 648 Calculator

Given Input numbers are 314, 567, 648

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

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

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 314, 567, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 567, 648 is 1.

Therefore, GCD of numbers 314, 567, 648 is 1

Given Input Data is 314, 567, 648

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

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(314, 567) = 178038

GCD(314, 567) = ( 314 x 567 ) / 178038

GCD(314, 567) = 178038 / 178038

GCD(314, 567) = 1

Step2:

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 314, 567, 648 is 1

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1. What is the GCD of 314, 567, 648?

GCD of 314, 567, 648 is 1

2. Where do I get the detailed procedure to find GCD of 314, 567, 648?

You can find a detailed procedure to find GCD of 314, 567, 648 on our page.

3. How to find GCD of 314, 567, 648 on a calculator?

You can find the GCD of 314, 567, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.