GCD of 414, 365, 739, 289 Calculator

Given Input numbers are 414, 365, 739, 289

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

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Greatest Common Divisior

We found the divisors of 414, 365, 739, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 365, 739, 289 is 1.

Therefore, GCD of numbers 414, 365, 739, 289 is 1

Given Input Data is 414, 365, 739, 289

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

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 365 is 5 x 73

Prime Factorization of 739 is 739

Prime Factorization of 289 is 17 x 17

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(414, 365) = 151110

GCD(414, 365) = ( 414 x 365 ) / 151110

GCD(414, 365) = 151110 / 151110

GCD(414, 365) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 739

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

LCM(1, 739) = 739

GCD(1, 739) = ( 1 x 739 ) / 739

GCD(1, 739) = 739 / 739

GCD(1, 739) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

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

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1

GCD of 414, 365, 739, 289 is 1

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1. What is the GCD of 414, 365, 739, 289?

GCD of 414, 365, 739, 289 is 1

2. Where do I get the detailed procedure to find GCD of 414, 365, 739, 289?

You can find a detailed procedure to find GCD of 414, 365, 739, 289 on our page.

3. How to find GCD of 414, 365, 739, 289 on a calculator?

You can find the GCD of 414, 365, 739, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.