GCD of 803, 973, 538, 698 Calculator

Given Input numbers are 803, 973, 538, 698

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

Divisors of 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 803, 973, 538, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 803, 973, 538, 698 is 1.

Therefore, GCD of numbers 803, 973, 538, 698 is 1

Given Input Data is 803, 973, 538, 698

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

Prime Factorization of 803 is 11 x 73

Prime Factorization of 973 is 7 x 139

Prime Factorization of 538 is 2 x 269

Prime Factorization of 698 is 2 x 349

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(803, 973) = 781319

GCD(803, 973) = ( 803 x 973 ) / 781319

GCD(803, 973) = 781319 / 781319

GCD(803, 973) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 538

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

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

GCD(1, 538) = 538 / 538

GCD(1, 538) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

GCD of 803, 973, 538, 698 is 1

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1. What is the GCD of 803, 973, 538, 698?

GCD of 803, 973, 538, 698 is 1

2. Where do I get the detailed procedure to find GCD of 803, 973, 538, 698?

You can find a detailed procedure to find GCD of 803, 973, 538, 698 on our page.

3. How to find GCD of 803, 973, 538, 698 on a calculator?

You can find the GCD of 803, 973, 538, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.