GCD of 478, 369, 103, 729 Calculator

Given Input numbers are 478, 369, 103, 729

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

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

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 478, 369, 103, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 478, 369, 103, 729 is 1.

Therefore, GCD of numbers 478, 369, 103, 729 is 1

Given Input Data is 478, 369, 103, 729

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

Prime Factorization of 478 is 2 x 239

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 103 is 103

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(478, 369) = 176382

GCD(478, 369) = ( 478 x 369 ) / 176382

GCD(478, 369) = 176382 / 176382

GCD(478, 369) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 103

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

LCM(1, 103) = 103

GCD(1, 103) = ( 1 x 103 ) / 103

GCD(1, 103) = 103 / 103

GCD(1, 103) = 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 478, 369, 103, 729 is 1

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1. What is the GCD of 478, 369, 103, 729?

GCD of 478, 369, 103, 729 is 1

2. Where do I get the detailed procedure to find GCD of 478, 369, 103, 729?

You can find a detailed procedure to find GCD of 478, 369, 103, 729 on our page.

3. How to find GCD of 478, 369, 103, 729 on a calculator?

You can find the GCD of 478, 369, 103, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.