GCD of 574, 809, 698, 240 Calculator

Given Input numbers are 574, 809, 698, 240

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

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 698

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

1, 2, 349, 698

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Greatest Common Divisior

We found the divisors of 574, 809, 698, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 809, 698, 240 is 1.

Therefore, GCD of numbers 574, 809, 698, 240 is 1

Given Input Data is 574, 809, 698, 240

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

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 809 is 809

Prime Factorization of 698 is 2 x 349

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

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(574, 809) = 464366

GCD(574, 809) = ( 574 x 809 ) / 464366

GCD(574, 809) = 464366 / 464366

GCD(574, 809) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 240

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

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

GCD(1, 240) = 240 / 240

GCD(1, 240) = 1

GCD of 574, 809, 698, 240 is 1

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• GCD of 623, 300, 621, 614
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• GCD of 914, 759, 725, 330

1. What is the GCD of 574, 809, 698, 240?

GCD of 574, 809, 698, 240 is 1

2. Where do I get the detailed procedure to find GCD of 574, 809, 698, 240?

You can find a detailed procedure to find GCD of 574, 809, 698, 240 on our page.

3. How to find GCD of 574, 809, 698, 240 on a calculator?

You can find the GCD of 574, 809, 698, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.