GCD of 896, 641, 509, 672 Calculator

Given Input numbers are 896, 641, 509, 672

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 641

List of positive integer divisors of 641 that divides 641 without a remainder.

1, 641

Divisors of 509

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

1, 509

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Greatest Common Divisior

We found the divisors of 896, 641, 509, 672 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 641, 509, 672 is 1.

Therefore, GCD of numbers 896, 641, 509, 672 is 1

Given Input Data is 896, 641, 509, 672

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 641 is 641

Prime Factorization of 509 is 509

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

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, 641) = 574336

GCD(896, 641) = ( 896 x 641 ) / 574336

GCD(896, 641) = 574336 / 574336

GCD(896, 641) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 509

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

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

GCD(1, 509) = 509 / 509

GCD(1, 509) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 672

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

LCM(1, 672) = 672

GCD(1, 672) = ( 1 x 672 ) / 672

GCD(1, 672) = 672 / 672

GCD(1, 672) = 1

GCD of 896, 641, 509, 672 is 1

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1. What is the GCD of 896, 641, 509, 672?

GCD of 896, 641, 509, 672 is 1

2. Where do I get the detailed procedure to find GCD of 896, 641, 509, 672?

You can find a detailed procedure to find GCD of 896, 641, 509, 672 on our page.

3. How to find GCD of 896, 641, 509, 672 on a calculator?

You can find the GCD of 896, 641, 509, 672 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.