GCD of 896, 504, 431 Calculator

Given Input numbers are 896, 504, 431

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

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 431

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

1, 431

Greatest Common Divisior

We found the divisors of 896, 504, 431 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 504, 431 is 1.

Therefore, GCD of numbers 896, 504, 431 is 1

Given Input Data is 896, 504, 431

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

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 431 is 431

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(896, 504) = 8064

GCD(896, 504) = ( 896 x 504 ) / 8064

GCD(896, 504) = 451584 / 8064

GCD(896, 504) = 56

Step2:

Here we consider the GCD from the above i.e. 56 as first number and the next as 431

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

LCM(56, 431) = 24136

GCD(56, 431) = ( 56 x 431 ) / 24136

GCD(56, 431) = 24136 / 24136

GCD(56, 431) = 1

GCD of 896, 504, 431 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 850, 630, 995
• GCD of 408, 581, 475
• GCD of 718, 751, 965
• GCD of 553, 199, 433
• GCD of 485, 517, 882

1. What is the GCD of 896, 504, 431?

GCD of 896, 504, 431 is 1

2. Where do I get the detailed procedure to find GCD of 896, 504, 431?

You can find a detailed procedure to find GCD of 896, 504, 431 on our page.

3. How to find GCD of 896, 504, 431 on a calculator?

You can find the GCD of 896, 504, 431 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.