GCD of 135, 537, 81, 896 Calculator

Given Input numbers are 135, 537, 81, 896

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

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Greatest Common Divisior

We found the divisors of 135, 537, 81, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 537, 81, 896 is 1.

Therefore, GCD of numbers 135, 537, 81, 896 is 1

Given Input Data is 135, 537, 81, 896

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

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 537 is 3 x 179

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

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(135, 537) = 24165

GCD(135, 537) = ( 135 x 537 ) / 24165

GCD(135, 537) = 72495 / 24165

GCD(135, 537) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 81

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

LCM(3, 81) = 81

GCD(3, 81) = ( 3 x 81 ) / 81

GCD(3, 81) = 243 / 81

GCD(3, 81) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 896

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

LCM(3, 896) = 2688

GCD(3, 896) = ( 3 x 896 ) / 2688

GCD(3, 896) = 2688 / 2688

GCD(3, 896) = 1

GCD of 135, 537, 81, 896 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 941, 913, 98, 892
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• GCD of 674, 510, 88, 552

1. What is the GCD of 135, 537, 81, 896?

GCD of 135, 537, 81, 896 is 1

2. Where do I get the detailed procedure to find GCD of 135, 537, 81, 896?

You can find a detailed procedure to find GCD of 135, 537, 81, 896 on our page.

3. How to find GCD of 135, 537, 81, 896 on a calculator?

You can find the GCD of 135, 537, 81, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.