GCD of 729, 402, 926, 946 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 729, 402, 926, 946 i.e. 1 largest integer that divides all the numbers equally.

GCD of 729, 402, 926, 946 is 1

GCD(729, 402, 926, 946) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 729, 402, 926, 946 is 1

GCD(729, 402, 926, 946) = 1

GCD of 729,402,926,946 Calculator

GCDof 729,402,926,946 is 1

Given Input numbers are 729, 402, 926, 946

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 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 926

List of positive integer divisors of 926 that divides 926 without a remainder.

1, 2, 463, 926

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Greatest Common Divisior

We found the divisors of 729, 402, 926, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 402, 926, 946 is 1.

Therefore, GCD of numbers 729, 402, 926, 946 is 1

Finding GCD of 729, 402, 926, 946 using Prime Factorization

Given Input Data is 729, 402, 926, 946

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 402 is 2 x 3 x 67

Prime Factorization of 926 is 2 x 463

Prime Factorization of 946 is 2 x 11 x 43

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 729, 402, 926, 946 using LCM Formula

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, 402) = 97686

GCD(729, 402) = ( 729 x 402 ) / 97686

GCD(729, 402) = 293058 / 97686

GCD(729, 402) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 926

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

LCM(3, 926) = 2778

GCD(3, 926) = ( 3 x 926 ) / 2778

GCD(3, 926) = 2778 / 2778

GCD(3, 926) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 946

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

LCM(1, 946) = 946

GCD(1, 946) = ( 1 x 946 ) / 946

GCD(1, 946) = 946 / 946

GCD(1, 946) = 1

GCD of 729, 402, 926, 946 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 729, 402, 926, 946

1. What is the GCD of 729, 402, 926, 946?

GCD of 729, 402, 926, 946 is 1


2. Where do I get the detailed procedure to find GCD of 729, 402, 926, 946?

You can find a detailed procedure to find GCD of 729, 402, 926, 946 on our page.


3. How to find GCD of 729, 402, 926, 946 on a calculator?

You can find the GCD of 729, 402, 926, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.