GCD of 288, 523, 10, 134 Calculator

Given Input numbers are 288, 523, 10, 134

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

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 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Greatest Common Divisior

We found the divisors of 288, 523, 10, 134 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 523, 10, 134 is 1.

Therefore, GCD of numbers 288, 523, 10, 134 is 1

Given Input Data is 288, 523, 10, 134

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

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

Prime Factorization of 523 is 523

Prime Factorization of 10 is 2 x 5

Prime Factorization of 134 is 2 x 67

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(288, 523) = 150624

GCD(288, 523) = ( 288 x 523 ) / 150624

GCD(288, 523) = 150624 / 150624

GCD(288, 523) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 134

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

LCM(1, 134) = 134

GCD(1, 134) = ( 1 x 134 ) / 134

GCD(1, 134) = 134 / 134

GCD(1, 134) = 1

GCD of 288, 523, 10, 134 is 1

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• GCD of 424, 765, 97, 404
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1. What is the GCD of 288, 523, 10, 134?

GCD of 288, 523, 10, 134 is 1

2. Where do I get the detailed procedure to find GCD of 288, 523, 10, 134?

You can find a detailed procedure to find GCD of 288, 523, 10, 134 on our page.

3. How to find GCD of 288, 523, 10, 134 on a calculator?

You can find the GCD of 288, 523, 10, 134 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.