GCD of 431, 496, 36, 687 Calculator

Given Input numbers are 431, 496, 36, 687

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

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Greatest Common Divisior

We found the divisors of 431, 496, 36, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 431, 496, 36, 687 is 1.

Therefore, GCD of numbers 431, 496, 36, 687 is 1

Given Input Data is 431, 496, 36, 687

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

Prime Factorization of 431 is 431

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 687 is 3 x 229

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(431, 496) = 213776

GCD(431, 496) = ( 431 x 496 ) / 213776

GCD(431, 496) = 213776 / 213776

GCD(431, 496) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 687

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

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

GCD(1, 687) = 687 / 687

GCD(1, 687) = 1

GCD of 431, 496, 36, 687 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 712, 815, 35, 162
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• GCD of 157, 467, 71, 887
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• GCD of 148, 844, 34, 762

1. What is the GCD of 431, 496, 36, 687?

GCD of 431, 496, 36, 687 is 1

2. Where do I get the detailed procedure to find GCD of 431, 496, 36, 687?

You can find a detailed procedure to find GCD of 431, 496, 36, 687 on our page.

3. How to find GCD of 431, 496, 36, 687 on a calculator?

You can find the GCD of 431, 496, 36, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.