GCD of 896, 796, 486, 509 Calculator

Given Input numbers are 896, 796, 486, 509

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 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Greatest Common Divisior

We found the divisors of 896, 796, 486, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 796, 486, 509 is 1.

Therefore, GCD of numbers 896, 796, 486, 509 is 1

Given Input Data is 896, 796, 486, 509

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 796 is 2 x 2 x 199

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 509 is 509

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, 796) = 178304

GCD(896, 796) = ( 896 x 796 ) / 178304

GCD(896, 796) = 713216 / 178304

GCD(896, 796) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 486

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

LCM(4, 486) = 972

GCD(4, 486) = ( 4 x 486 ) / 972

GCD(4, 486) = 1944 / 972

GCD(4, 486) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 509

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

LCM(2, 509) = 1018

GCD(2, 509) = ( 2 x 509 ) / 1018

GCD(2, 509) = 1018 / 1018

GCD(2, 509) = 1

GCD of 896, 796, 486, 509 is 1

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1. What is the GCD of 896, 796, 486, 509?

GCD of 896, 796, 486, 509 is 1

2. Where do I get the detailed procedure to find GCD of 896, 796, 486, 509?

You can find a detailed procedure to find GCD of 896, 796, 486, 509 on our page.

3. How to find GCD of 896, 796, 486, 509 on a calculator?

You can find the GCD of 896, 796, 486, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.