GCD of 252, 579, 76, 288 Calculator

Given Input numbers are 252, 579, 76, 288

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 579

List of positive integer divisors of 579 that divides 579 without a remainder.

1, 3, 193, 579

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

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

Greatest Common Divisior

We found the divisors of 252, 579, 76, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 579, 76, 288 is 1.

Therefore, GCD of numbers 252, 579, 76, 288 is 1

Given Input Data is 252, 579, 76, 288

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 579 is 3 x 193

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

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, 579) = 48636

GCD(252, 579) = ( 252 x 579 ) / 48636

GCD(252, 579) = 145908 / 48636

GCD(252, 579) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 76

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

LCM(3, 76) = 228

GCD(3, 76) = ( 3 x 76 ) / 228

GCD(3, 76) = 228 / 228

GCD(3, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 288

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

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

GCD(1, 288) = 288 / 288

GCD(1, 288) = 1

GCD of 252, 579, 76, 288 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 602, 225, 63, 400
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• GCD of 567, 951, 56, 949
• GCD of 910, 628, 19, 765
• GCD of 305, 991, 99, 173

1. What is the GCD of 252, 579, 76, 288?

GCD of 252, 579, 76, 288 is 1

2. Where do I get the detailed procedure to find GCD of 252, 579, 76, 288?

You can find a detailed procedure to find GCD of 252, 579, 76, 288 on our page.

3. How to find GCD of 252, 579, 76, 288 on a calculator?

You can find the GCD of 252, 579, 76, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.