GCD of 924, 693, 56, 830 Calculator

Given Input numbers are 924, 693, 56, 830

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

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

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 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Greatest Common Divisior

We found the divisors of 924, 693, 56, 830 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 693, 56, 830 is 1.

Therefore, GCD of numbers 924, 693, 56, 830 is 1

Given Input Data is 924, 693, 56, 830

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

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

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

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 830 is 2 x 5 x 83

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(924, 693) = 2772

GCD(924, 693) = ( 924 x 693 ) / 2772

GCD(924, 693) = 640332 / 2772

GCD(924, 693) = 231

Step2:

Here we consider the GCD from the above i.e. 231 as first number and the next as 56

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

LCM(231, 56) = 1848

GCD(231, 56) = ( 231 x 56 ) / 1848

GCD(231, 56) = 12936 / 1848

GCD(231, 56) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 830

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

LCM(7, 830) = 5810

GCD(7, 830) = ( 7 x 830 ) / 5810

GCD(7, 830) = 5810 / 5810

GCD(7, 830) = 1

GCD of 924, 693, 56, 830 is 1

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1. What is the GCD of 924, 693, 56, 830?

GCD of 924, 693, 56, 830 is 1

2. Where do I get the detailed procedure to find GCD of 924, 693, 56, 830?

You can find a detailed procedure to find GCD of 924, 693, 56, 830 on our page.

3. How to find GCD of 924, 693, 56, 830 on a calculator?

You can find the GCD of 924, 693, 56, 830 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.