GCD of 100, 928, 731, 563 Calculator

Given Input numbers are 100, 928, 731, 563

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Greatest Common Divisior

We found the divisors of 100, 928, 731, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 928, 731, 563 is 1.

Therefore, GCD of numbers 100, 928, 731, 563 is 1

Given Input Data is 100, 928, 731, 563

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 731 is 17 x 43

Prime Factorization of 563 is 563

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(100, 928) = 23200

GCD(100, 928) = ( 100 x 928 ) / 23200

GCD(100, 928) = 92800 / 23200

GCD(100, 928) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 731

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

LCM(4, 731) = 2924

GCD(4, 731) = ( 4 x 731 ) / 2924

GCD(4, 731) = 2924 / 2924

GCD(4, 731) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 563

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

LCM(1, 563) = 563

GCD(1, 563) = ( 1 x 563 ) / 563

GCD(1, 563) = 563 / 563

GCD(1, 563) = 1

GCD of 100, 928, 731, 563 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 366, 360, 990, 501
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• GCD of 887, 505, 871, 288

1. What is the GCD of 100, 928, 731, 563?

GCD of 100, 928, 731, 563 is 1

2. Where do I get the detailed procedure to find GCD of 100, 928, 731, 563?

You can find a detailed procedure to find GCD of 100, 928, 731, 563 on our page.

3. How to find GCD of 100, 928, 731, 563 on a calculator?

You can find the GCD of 100, 928, 731, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.