GCD of 696, 348, 32, 463 Calculator

Given Input numbers are 696, 348, 32, 463

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

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 463

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

1, 463

Greatest Common Divisior

We found the divisors of 696, 348, 32, 463 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 348, 32, 463 is 1.

Therefore, GCD of numbers 696, 348, 32, 463 is 1

Given Input Data is 696, 348, 32, 463

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

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 463 is 463

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(696, 348) = 696

GCD(696, 348) = ( 696 x 348 ) / 696

GCD(696, 348) = 242208 / 696

GCD(696, 348) = 348

Step2:

Here we consider the GCD from the above i.e. 348 as first number and the next as 32

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

LCM(348, 32) = 2784

GCD(348, 32) = ( 348 x 32 ) / 2784

GCD(348, 32) = 11136 / 2784

GCD(348, 32) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 463

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

LCM(4, 463) = 1852

GCD(4, 463) = ( 4 x 463 ) / 1852

GCD(4, 463) = 1852 / 1852

GCD(4, 463) = 1

GCD of 696, 348, 32, 463 is 1

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1. What is the GCD of 696, 348, 32, 463?

GCD of 696, 348, 32, 463 is 1

2. Where do I get the detailed procedure to find GCD of 696, 348, 32, 463?

You can find a detailed procedure to find GCD of 696, 348, 32, 463 on our page.

3. How to find GCD of 696, 348, 32, 463 on a calculator?

You can find the GCD of 696, 348, 32, 463 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.