GCD of 340, 723, 400 Calculator

Given Input numbers are 340, 723, 400

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

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

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

Greatest Common Divisior

We found the divisors of 340, 723, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 723, 400 is 1.

Therefore, GCD of numbers 340, 723, 400 is 1

Given Input Data is 340, 723, 400

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

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 723 is 3 x 241

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

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(340, 723) = 245820

GCD(340, 723) = ( 340 x 723 ) / 245820

GCD(340, 723) = 245820 / 245820

GCD(340, 723) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

GCD of 340, 723, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 890, 547, 390
• GCD of 165, 433, 859
• GCD of 647, 394, 945
• GCD of 596, 311, 485
• GCD of 631, 157, 888

1. What is the GCD of 340, 723, 400?

GCD of 340, 723, 400 is 1

2. Where do I get the detailed procedure to find GCD of 340, 723, 400?

You can find a detailed procedure to find GCD of 340, 723, 400 on our page.

3. How to find GCD of 340, 723, 400 on a calculator?

You can find the GCD of 340, 723, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.