GCD of 729, 101, 438, 742 Calculator

Given Input numbers are 729, 101, 438, 742

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 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 729, 101, 438, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 101, 438, 742 is 1.

Therefore, GCD of numbers 729, 101, 438, 742 is 1

Given Input Data is 729, 101, 438, 742

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 101 is 101

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 742 is 2 x 7 x 53

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, 101) = 73629

GCD(729, 101) = ( 729 x 101 ) / 73629

GCD(729, 101) = 73629 / 73629

GCD(729, 101) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 438

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

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

GCD(1, 438) = 438 / 438

GCD(1, 438) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

GCD of 729, 101, 438, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 931, 893, 697, 464
• GCD of 425, 739, 138, 799
• GCD of 130, 735, 221, 195
• GCD of 101, 529, 320, 300
• GCD of 361, 511, 823, 202

1. What is the GCD of 729, 101, 438, 742?

GCD of 729, 101, 438, 742 is 1

2. Where do I get the detailed procedure to find GCD of 729, 101, 438, 742?

You can find a detailed procedure to find GCD of 729, 101, 438, 742 on our page.

3. How to find GCD of 729, 101, 438, 742 on a calculator?

You can find the GCD of 729, 101, 438, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.