GCD of 252, 928, 576, 913 Calculator

Given Input numbers are 252, 928, 576, 913

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

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

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 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

Divisors of 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Greatest Common Divisior

We found the divisors of 252, 928, 576, 913 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 928, 576, 913 is 1.

Therefore, GCD of numbers 252, 928, 576, 913 is 1

Given Input Data is 252, 928, 576, 913

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

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

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

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

Prime Factorization of 913 is 11 x 83

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(252, 928) = 58464

GCD(252, 928) = ( 252 x 928 ) / 58464

GCD(252, 928) = 233856 / 58464

GCD(252, 928) = 4

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 913

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

LCM(4, 913) = 3652

GCD(4, 913) = ( 4 x 913 ) / 3652

GCD(4, 913) = 3652 / 3652

GCD(4, 913) = 1

GCD of 252, 928, 576, 913 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 157, 591, 357, 393
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• GCD of 115, 605, 269, 801
• GCD of 114, 998, 624, 839
• GCD of 526, 796, 900, 843

1. What is the GCD of 252, 928, 576, 913?

GCD of 252, 928, 576, 913 is 1

2. Where do I get the detailed procedure to find GCD of 252, 928, 576, 913?

You can find a detailed procedure to find GCD of 252, 928, 576, 913 on our page.

3. How to find GCD of 252, 928, 576, 913 on a calculator?

You can find the GCD of 252, 928, 576, 913 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.