GCD of 874, 323, 463, 693 Calculator

Given Input numbers are 874, 323, 463, 693

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

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

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

Greatest Common Divisior

We found the divisors of 874, 323, 463, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 323, 463, 693 is 1.

Therefore, GCD of numbers 874, 323, 463, 693 is 1

Given Input Data is 874, 323, 463, 693

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 323 is 17 x 19

Prime Factorization of 463 is 463

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

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(874, 323) = 14858

GCD(874, 323) = ( 874 x 323 ) / 14858

GCD(874, 323) = 282302 / 14858

GCD(874, 323) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 463

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

LCM(19, 463) = 8797

GCD(19, 463) = ( 19 x 463 ) / 8797

GCD(19, 463) = 8797 / 8797

GCD(19, 463) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 693

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

LCM(1, 693) = 693

GCD(1, 693) = ( 1 x 693 ) / 693

GCD(1, 693) = 693 / 693

GCD(1, 693) = 1

GCD of 874, 323, 463, 693 is 1

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1. What is the GCD of 874, 323, 463, 693?

GCD of 874, 323, 463, 693 is 1

2. Where do I get the detailed procedure to find GCD of 874, 323, 463, 693?

You can find a detailed procedure to find GCD of 874, 323, 463, 693 on our page.

3. How to find GCD of 874, 323, 463, 693 on a calculator?

You can find the GCD of 874, 323, 463, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.