GCD of 729, 975, 841, 853 Calculator

Given Input numbers are 729, 975, 841, 853

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 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 841

List of positive integer divisors of 841 that divides 841 without a remainder.

1, 29, 841

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Greatest Common Divisior

We found the divisors of 729, 975, 841, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 975, 841, 853 is 1.

Therefore, GCD of numbers 729, 975, 841, 853 is 1

Given Input Data is 729, 975, 841, 853

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 975 is 3 x 5 x 5 x 13

Prime Factorization of 841 is 29 x 29

Prime Factorization of 853 is 853

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, 975) = 236925

GCD(729, 975) = ( 729 x 975 ) / 236925

GCD(729, 975) = 710775 / 236925

GCD(729, 975) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 841

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

LCM(3, 841) = 2523

GCD(3, 841) = ( 3 x 841 ) / 2523

GCD(3, 841) = 2523 / 2523

GCD(3, 841) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 853

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

LCM(1, 853) = 853

GCD(1, 853) = ( 1 x 853 ) / 853

GCD(1, 853) = 853 / 853

GCD(1, 853) = 1

GCD of 729, 975, 841, 853 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 801, 342, 425, 160
• GCD of 211, 972, 131, 367
• GCD of 628, 876, 259, 134
• GCD of 400, 475, 574, 481
• GCD of 654, 434, 118, 684

1. What is the GCD of 729, 975, 841, 853?

GCD of 729, 975, 841, 853 is 1

2. Where do I get the detailed procedure to find GCD of 729, 975, 841, 853?

You can find a detailed procedure to find GCD of 729, 975, 841, 853 on our page.

3. How to find GCD of 729, 975, 841, 853 on a calculator?

You can find the GCD of 729, 975, 841, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.