GCD of 538, 288, 67, 712 Calculator

Given Input numbers are 538, 288, 67, 712

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

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

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 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Greatest Common Divisior

We found the divisors of 538, 288, 67, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 288, 67, 712 is 1.

Therefore, GCD of numbers 538, 288, 67, 712 is 1

Given Input Data is 538, 288, 67, 712

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

Prime Factorization of 538 is 2 x 269

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

Prime Factorization of 67 is 67

Prime Factorization of 712 is 2 x 2 x 2 x 89

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(538, 288) = 77472

GCD(538, 288) = ( 538 x 288 ) / 77472

GCD(538, 288) = 154944 / 77472

GCD(538, 288) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 67

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

LCM(2, 67) = 134

GCD(2, 67) = ( 2 x 67 ) / 134

GCD(2, 67) = 134 / 134

GCD(2, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 712

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

LCM(1, 712) = 712

GCD(1, 712) = ( 1 x 712 ) / 712

GCD(1, 712) = 712 / 712

GCD(1, 712) = 1

GCD of 538, 288, 67, 712 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 952, 247, 61, 306
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• GCD of 724, 936, 89, 943
• GCD of 993, 741, 27, 513

1. What is the GCD of 538, 288, 67, 712?

GCD of 538, 288, 67, 712 is 1

2. Where do I get the detailed procedure to find GCD of 538, 288, 67, 712?

You can find a detailed procedure to find GCD of 538, 288, 67, 712 on our page.

3. How to find GCD of 538, 288, 67, 712 on a calculator?

You can find the GCD of 538, 288, 67, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.