GCD of 538, 160, 10, 729 Calculator

Given Input numbers are 538, 160, 10, 729

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 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 10

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

1, 2, 5, 10

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Greatest Common Divisior

We found the divisors of 538, 160, 10, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 160, 10, 729 is 1.

Therefore, GCD of numbers 538, 160, 10, 729 is 1

Given Input Data is 538, 160, 10, 729

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 10 is 2 x 5

Prime Factorization of 729 is 3 x 3 x 3 x 3 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(538, 160) = 43040

GCD(538, 160) = ( 538 x 160 ) / 43040

GCD(538, 160) = 86080 / 43040

GCD(538, 160) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 729

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

LCM(2, 729) = 1458

GCD(2, 729) = ( 2 x 729 ) / 1458

GCD(2, 729) = 1458 / 1458

GCD(2, 729) = 1

GCD of 538, 160, 10, 729 is 1

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• GCD of 439, 406, 59, 185
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• GCD of 696, 742, 84, 701

1. What is the GCD of 538, 160, 10, 729?

GCD of 538, 160, 10, 729 is 1

2. Where do I get the detailed procedure to find GCD of 538, 160, 10, 729?

You can find a detailed procedure to find GCD of 538, 160, 10, 729 on our page.

3. How to find GCD of 538, 160, 10, 729 on a calculator?

You can find the GCD of 538, 160, 10, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.