GCD of 503, 221, 896, 695 Calculator

Given Input numbers are 503, 221, 896, 695

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

Divisors of 503

List of positive integer divisors of 503 that divides 503 without a remainder.

1, 503

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

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 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Greatest Common Divisior

We found the divisors of 503, 221, 896, 695 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 503, 221, 896, 695 is 1.

Therefore, GCD of numbers 503, 221, 896, 695 is 1

Given Input Data is 503, 221, 896, 695

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

Prime Factorization of 503 is 503

Prime Factorization of 221 is 13 x 17

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

Prime Factorization of 695 is 5 x 139

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(503, 221) = 111163

GCD(503, 221) = ( 503 x 221 ) / 111163

GCD(503, 221) = 111163 / 111163

GCD(503, 221) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 896

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

LCM(1, 896) = 896

GCD(1, 896) = ( 1 x 896 ) / 896

GCD(1, 896) = 896 / 896

GCD(1, 896) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 695

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

LCM(1, 695) = 695

GCD(1, 695) = ( 1 x 695 ) / 695

GCD(1, 695) = 695 / 695

GCD(1, 695) = 1

GCD of 503, 221, 896, 695 is 1

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1. What is the GCD of 503, 221, 896, 695?

GCD of 503, 221, 896, 695 is 1

2. Where do I get the detailed procedure to find GCD of 503, 221, 896, 695?

You can find a detailed procedure to find GCD of 503, 221, 896, 695 on our page.

3. How to find GCD of 503, 221, 896, 695 on a calculator?

You can find the GCD of 503, 221, 896, 695 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.