GCD of 104, 572, 56, 576 Calculator

Given Input numbers are 104, 572, 56, 576

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

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Greatest Common Divisior

We found the divisors of 104, 572, 56, 576 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 572, 56, 576 is 4.

Therefore, GCD of numbers 104, 572, 56, 576 is 4

Given Input Data is 104, 572, 56, 576

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

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 572 is 2 x 2 x 11 x 13

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(104, 572) = 1144

GCD(104, 572) = ( 104 x 572 ) / 1144

GCD(104, 572) = 59488 / 1144

GCD(104, 572) = 52

Step2:

Here we consider the GCD from the above i.e. 52 as first number and the next as 56

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

LCM(52, 56) = 728

GCD(52, 56) = ( 52 x 56 ) / 728

GCD(52, 56) = 2912 / 728

GCD(52, 56) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 576

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

LCM(4, 576) = 576

GCD(4, 576) = ( 4 x 576 ) / 576

GCD(4, 576) = 2304 / 576

GCD(4, 576) = 4

GCD of 104, 572, 56, 576 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 106, 253, 35, 186
• GCD of 913, 399, 21, 521
• GCD of 336, 663, 38, 973
• GCD of 414, 984, 80, 320
• GCD of 307, 562, 31, 626

1. What is the GCD of 104, 572, 56, 576?

GCD of 104, 572, 56, 576 is 4

2. Where do I get the detailed procedure to find GCD of 104, 572, 56, 576?

You can find a detailed procedure to find GCD of 104, 572, 56, 576 on our page.

3. How to find GCD of 104, 572, 56, 576 on a calculator?

You can find the GCD of 104, 572, 56, 576 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.