GCD of 648, 286, 31, 914 Calculator

Given Input numbers are 648, 286, 31, 914

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 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 648, 286, 31, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 286, 31, 914 is 1.

Therefore, GCD of numbers 648, 286, 31, 914 is 1

Given Input Data is 648, 286, 31, 914

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 286 is 2 x 11 x 13

Prime Factorization of 31 is 31

Prime Factorization of 914 is 2 x 457

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, 286) = 92664

GCD(648, 286) = ( 648 x 286 ) / 92664

GCD(648, 286) = 185328 / 92664

GCD(648, 286) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 31

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

LCM(2, 31) = 62

GCD(2, 31) = ( 2 x 31 ) / 62

GCD(2, 31) = 62 / 62

GCD(2, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

GCD of 648, 286, 31, 914 is 1

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1. What is the GCD of 648, 286, 31, 914?

GCD of 648, 286, 31, 914 is 1

2. Where do I get the detailed procedure to find GCD of 648, 286, 31, 914?

You can find a detailed procedure to find GCD of 648, 286, 31, 914 on our page.

3. How to find GCD of 648, 286, 31, 914 on a calculator?

You can find the GCD of 648, 286, 31, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.