GCD of 253, 288, 61, 471 Calculator

Given Input numbers are 253, 288, 61, 471

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

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

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

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Greatest Common Divisior

We found the divisors of 253, 288, 61, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 253, 288, 61, 471 is 1.

Therefore, GCD of numbers 253, 288, 61, 471 is 1

Given Input Data is 253, 288, 61, 471

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

Prime Factorization of 253 is 11 x 23

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

Prime Factorization of 61 is 61

Prime Factorization of 471 is 3 x 157

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(253, 288) = 72864

GCD(253, 288) = ( 253 x 288 ) / 72864

GCD(253, 288) = 72864 / 72864

GCD(253, 288) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 61

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

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

GCD(1, 61) = 61 / 61

GCD(1, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 471

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

LCM(1, 471) = 471

GCD(1, 471) = ( 1 x 471 ) / 471

GCD(1, 471) = 471 / 471

GCD(1, 471) = 1

GCD of 253, 288, 61, 471 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 613, 792, 43, 589
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• GCD of 429, 564, 89, 243

1. What is the GCD of 253, 288, 61, 471?

GCD of 253, 288, 61, 471 is 1

2. Where do I get the detailed procedure to find GCD of 253, 288, 61, 471?

You can find a detailed procedure to find GCD of 253, 288, 61, 471 on our page.

3. How to find GCD of 253, 288, 61, 471 on a calculator?

You can find the GCD of 253, 288, 61, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.