GCD of 729, 856, 60, 194 Calculator

Given Input numbers are 729, 856, 60, 194

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

Divisors of 729

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

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

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Greatest Common Divisior

We found the divisors of 729, 856, 60, 194 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 856, 60, 194 is 1.

Therefore, GCD of numbers 729, 856, 60, 194 is 1

Given Input Data is 729, 856, 60, 194

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

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 194 is 2 x 97

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(729, 856) = 624024

GCD(729, 856) = ( 729 x 856 ) / 624024

GCD(729, 856) = 624024 / 624024

GCD(729, 856) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 60

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

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

GCD(1, 60) = 60 / 60

GCD(1, 60) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 194

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

LCM(1, 194) = 194

GCD(1, 194) = ( 1 x 194 ) / 194

GCD(1, 194) = 194 / 194

GCD(1, 194) = 1

GCD of 729, 856, 60, 194 is 1

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• GCD of 189, 368, 88, 241
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• GCD of 659, 361, 65, 170

1. What is the GCD of 729, 856, 60, 194?

GCD of 729, 856, 60, 194 is 1

2. Where do I get the detailed procedure to find GCD of 729, 856, 60, 194?

You can find a detailed procedure to find GCD of 729, 856, 60, 194 on our page.

3. How to find GCD of 729, 856, 60, 194 on a calculator?

You can find the GCD of 729, 856, 60, 194 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.