GCD of 644, 413, 57, 463 Calculator

Given Input numbers are 644, 413, 57, 463

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

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 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Greatest Common Divisior

We found the divisors of 644, 413, 57, 463 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 644, 413, 57, 463 is 1.

Therefore, GCD of numbers 644, 413, 57, 463 is 1

Given Input Data is 644, 413, 57, 463

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

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

Prime Factorization of 413 is 7 x 59

Prime Factorization of 57 is 3 x 19

Prime Factorization of 463 is 463

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(644, 413) = 37996

GCD(644, 413) = ( 644 x 413 ) / 37996

GCD(644, 413) = 265972 / 37996

GCD(644, 413) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 57

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

LCM(7, 57) = 399

GCD(7, 57) = ( 7 x 57 ) / 399

GCD(7, 57) = 399 / 399

GCD(7, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 463

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

LCM(1, 463) = 463

GCD(1, 463) = ( 1 x 463 ) / 463

GCD(1, 463) = 463 / 463

GCD(1, 463) = 1

GCD of 644, 413, 57, 463 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 374, 745, 75, 741
• GCD of 887, 408, 34, 987
• GCD of 243, 416, 75, 597
• GCD of 483, 930, 63, 529
• GCD of 542, 520, 71, 880

1. What is the GCD of 644, 413, 57, 463?

GCD of 644, 413, 57, 463 is 1

2. Where do I get the detailed procedure to find GCD of 644, 413, 57, 463?

You can find a detailed procedure to find GCD of 644, 413, 57, 463 on our page.

3. How to find GCD of 644, 413, 57, 463 on a calculator?

You can find the GCD of 644, 413, 57, 463 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.