GCD of 37, 729, 830, 861 Calculator

Given Input numbers are 37, 729, 830, 861

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

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

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 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Greatest Common Divisior

We found the divisors of 37, 729, 830, 861 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 729, 830, 861 is 1.

Therefore, GCD of numbers 37, 729, 830, 861 is 1

Given Input Data is 37, 729, 830, 861

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

Prime Factorization of 37 is 37

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

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 861 is 3 x 7 x 41

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(37, 729) = 26973

GCD(37, 729) = ( 37 x 729 ) / 26973

GCD(37, 729) = 26973 / 26973

GCD(37, 729) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 830

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

LCM(1, 830) = 830

GCD(1, 830) = ( 1 x 830 ) / 830

GCD(1, 830) = 830 / 830

GCD(1, 830) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 861

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

LCM(1, 861) = 861

GCD(1, 861) = ( 1 x 861 ) / 861

GCD(1, 861) = 861 / 861

GCD(1, 861) = 1

GCD of 37, 729, 830, 861 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 83, 222, 906, 359
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• GCD of 17, 273, 376, 922
• GCD of 12, 551, 265, 895
• GCD of 91, 677, 973, 636

1. What is the GCD of 37, 729, 830, 861?

GCD of 37, 729, 830, 861 is 1

2. Where do I get the detailed procedure to find GCD of 37, 729, 830, 861?

You can find a detailed procedure to find GCD of 37, 729, 830, 861 on our page.

3. How to find GCD of 37, 729, 830, 861 on a calculator?

You can find the GCD of 37, 729, 830, 861 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.