GCD of 574, 271, 644, 618 Calculator

Given Input numbers are 574, 271, 644, 618

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 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Greatest Common Divisior

We found the divisors of 574, 271, 644, 618 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 271, 644, 618 is 1.

Therefore, GCD of numbers 574, 271, 644, 618 is 1

Given Input Data is 574, 271, 644, 618

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 271 is 271

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 618 is 2 x 3 x 103

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, 271) = 155554

GCD(574, 271) = ( 574 x 271 ) / 155554

GCD(574, 271) = 155554 / 155554

GCD(574, 271) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 644

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

LCM(1, 644) = 644

GCD(1, 644) = ( 1 x 644 ) / 644

GCD(1, 644) = 644 / 644

GCD(1, 644) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 618

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

LCM(1, 618) = 618

GCD(1, 618) = ( 1 x 618 ) / 618

GCD(1, 618) = 618 / 618

GCD(1, 618) = 1

GCD of 574, 271, 644, 618 is 1

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1. What is the GCD of 574, 271, 644, 618?

GCD of 574, 271, 644, 618 is 1

2. Where do I get the detailed procedure to find GCD of 574, 271, 644, 618?

You can find a detailed procedure to find GCD of 574, 271, 644, 618 on our page.

3. How to find GCD of 574, 271, 644, 618 on a calculator?

You can find the GCD of 574, 271, 644, 618 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.