GCD of 739, 400, 27, 345 Calculator

Given Input numbers are 739, 400, 27, 345

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

Divisors of 739

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

1, 739

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Greatest Common Divisior

We found the divisors of 739, 400, 27, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 739, 400, 27, 345 is 1.

Therefore, GCD of numbers 739, 400, 27, 345 is 1

Given Input Data is 739, 400, 27, 345

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

Prime Factorization of 739 is 739

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 345 is 3 x 5 x 23

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(739, 400) = 295600

GCD(739, 400) = ( 739 x 400 ) / 295600

GCD(739, 400) = 295600 / 295600

GCD(739, 400) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 27

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

LCM(1, 27) = 27

GCD(1, 27) = ( 1 x 27 ) / 27

GCD(1, 27) = 27 / 27

GCD(1, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

GCD of 739, 400, 27, 345 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 871, 722, 10, 627
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• GCD of 996, 864, 18, 138
• GCD of 398, 115, 51, 275

1. What is the GCD of 739, 400, 27, 345?

GCD of 739, 400, 27, 345 is 1

2. Where do I get the detailed procedure to find GCD of 739, 400, 27, 345?

You can find a detailed procedure to find GCD of 739, 400, 27, 345 on our page.

3. How to find GCD of 739, 400, 27, 345 on a calculator?

You can find the GCD of 739, 400, 27, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.