GCD of 831, 693, 16, 567 Calculator

Given Input numbers are 831, 693, 16, 567

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

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

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

Greatest Common Divisior

We found the divisors of 831, 693, 16, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 831, 693, 16, 567 is 1.

Therefore, GCD of numbers 831, 693, 16, 567 is 1

Given Input Data is 831, 693, 16, 567

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

Prime Factorization of 831 is 3 x 277

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 16 is 2 x 2 x 2 x 2

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

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(831, 693) = 191961

GCD(831, 693) = ( 831 x 693 ) / 191961

GCD(831, 693) = 575883 / 191961

GCD(831, 693) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 16

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

LCM(3, 16) = 48

GCD(3, 16) = ( 3 x 16 ) / 48

GCD(3, 16) = 48 / 48

GCD(3, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 567

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

LCM(1, 567) = 567

GCD(1, 567) = ( 1 x 567 ) / 567

GCD(1, 567) = 567 / 567

GCD(1, 567) = 1

GCD of 831, 693, 16, 567 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 461, 458, 94, 826
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• GCD of 263, 225, 64, 338
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• GCD of 906, 932, 32, 513

1. What is the GCD of 831, 693, 16, 567?

GCD of 831, 693, 16, 567 is 1

2. Where do I get the detailed procedure to find GCD of 831, 693, 16, 567?

You can find a detailed procedure to find GCD of 831, 693, 16, 567 on our page.

3. How to find GCD of 831, 693, 16, 567 on a calculator?

You can find the GCD of 831, 693, 16, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.