GCD of 304, 989, 142, 729 Calculator

Given Input numbers are 304, 989, 142, 729

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

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

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 304, 989, 142, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 989, 142, 729 is 1.

Therefore, GCD of numbers 304, 989, 142, 729 is 1

Given Input Data is 304, 989, 142, 729

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

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 989 is 23 x 43

Prime Factorization of 142 is 2 x 71

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(304, 989) = 300656

GCD(304, 989) = ( 304 x 989 ) / 300656

GCD(304, 989) = 300656 / 300656

GCD(304, 989) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 729

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

LCM(1, 729) = 729

GCD(1, 729) = ( 1 x 729 ) / 729

GCD(1, 729) = 729 / 729

GCD(1, 729) = 1

GCD of 304, 989, 142, 729 is 1

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1. What is the GCD of 304, 989, 142, 729?

GCD of 304, 989, 142, 729 is 1

2. Where do I get the detailed procedure to find GCD of 304, 989, 142, 729?

You can find a detailed procedure to find GCD of 304, 989, 142, 729 on our page.

3. How to find GCD of 304, 989, 142, 729 on a calculator?

You can find the GCD of 304, 989, 142, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.