GCD of 643, 224, 57, 920 Calculator

Given Input numbers are 643, 224, 57, 920

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

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 57

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

1, 3, 19, 57

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Greatest Common Divisior

We found the divisors of 643, 224, 57, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 643, 224, 57, 920 is 1.

Therefore, GCD of numbers 643, 224, 57, 920 is 1

Given Input Data is 643, 224, 57, 920

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

Prime Factorization of 643 is 643

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 57 is 3 x 19

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

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(643, 224) = 144032

GCD(643, 224) = ( 643 x 224 ) / 144032

GCD(643, 224) = 144032 / 144032

GCD(643, 224) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 57

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

LCM(1, 57) = 57

GCD(1, 57) = ( 1 x 57 ) / 57

GCD(1, 57) = 57 / 57

GCD(1, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 920

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

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

GCD(1, 920) = 920 / 920

GCD(1, 920) = 1

GCD of 643, 224, 57, 920 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 193, 812, 28, 333
• GCD of 294, 207, 87, 391
• GCD of 536, 618, 27, 974
• GCD of 365, 568, 37, 282
• GCD of 396, 771, 97, 963

1. What is the GCD of 643, 224, 57, 920?

GCD of 643, 224, 57, 920 is 1

2. Where do I get the detailed procedure to find GCD of 643, 224, 57, 920?

You can find a detailed procedure to find GCD of 643, 224, 57, 920 on our page.

3. How to find GCD of 643, 224, 57, 920 on a calculator?

You can find the GCD of 643, 224, 57, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.