GCD of 31, 914, 704, 512 Calculator

Given Input numbers are 31, 914, 704, 512

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

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

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Greatest Common Divisior

We found the divisors of 31, 914, 704, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 914, 704, 512 is 1.

Therefore, GCD of numbers 31, 914, 704, 512 is 1

Given Input Data is 31, 914, 704, 512

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

Prime Factorization of 31 is 31

Prime Factorization of 914 is 2 x 457

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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(31, 914) = 28334

GCD(31, 914) = ( 31 x 914 ) / 28334

GCD(31, 914) = 28334 / 28334

GCD(31, 914) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 704

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

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

GCD(1, 704) = 704 / 704

GCD(1, 704) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 512

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

LCM(1, 512) = 512

GCD(1, 512) = ( 1 x 512 ) / 512

GCD(1, 512) = 512 / 512

GCD(1, 512) = 1

GCD of 31, 914, 704, 512 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 76, 660, 972, 563
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• GCD of 98, 682, 652, 160

1. What is the GCD of 31, 914, 704, 512?

GCD of 31, 914, 704, 512 is 1

2. Where do I get the detailed procedure to find GCD of 31, 914, 704, 512?

You can find a detailed procedure to find GCD of 31, 914, 704, 512 on our page.

3. How to find GCD of 31, 914, 704, 512 on a calculator?

You can find the GCD of 31, 914, 704, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.