GCD of 574, 644, 146, 657 Calculator

Given Input numbers are 574, 644, 146, 657

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 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 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Greatest Common Divisior

We found the divisors of 574, 644, 146, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 644, 146, 657 is 1.

Therefore, GCD of numbers 574, 644, 146, 657 is 1

Given Input Data is 574, 644, 146, 657

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 644 is 2 x 2 x 7 x 23

Prime Factorization of 146 is 2 x 73

Prime Factorization of 657 is 3 x 3 x 73

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, 644) = 26404

GCD(574, 644) = ( 574 x 644 ) / 26404

GCD(574, 644) = 369656 / 26404

GCD(574, 644) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 146

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

LCM(14, 146) = 1022

GCD(14, 146) = ( 14 x 146 ) / 1022

GCD(14, 146) = 2044 / 1022

GCD(14, 146) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 657

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

LCM(2, 657) = 1314

GCD(2, 657) = ( 2 x 657 ) / 1314

GCD(2, 657) = 1314 / 1314

GCD(2, 657) = 1

GCD of 574, 644, 146, 657 is 1

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1. What is the GCD of 574, 644, 146, 657?

GCD of 574, 644, 146, 657 is 1

2. Where do I get the detailed procedure to find GCD of 574, 644, 146, 657?

You can find a detailed procedure to find GCD of 574, 644, 146, 657 on our page.

3. How to find GCD of 574, 644, 146, 657 on a calculator?

You can find the GCD of 574, 644, 146, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.