GCD of 720, 734, 406 Calculator

Given Input numbers are 720, 734, 406

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

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Greatest Common Divisior

We found the divisors of 720, 734, 406 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 734, 406 is 2.

Therefore, GCD of numbers 720, 734, 406 is 2

Given Input Data is 720, 734, 406

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

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 734 is 2 x 367

Prime Factorization of 406 is 2 x 7 x 29

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(720, 734) = 264240

GCD(720, 734) = ( 720 x 734 ) / 264240

GCD(720, 734) = 528480 / 264240

GCD(720, 734) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 406

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

LCM(2, 406) = 406

GCD(2, 406) = ( 2 x 406 ) / 406

GCD(2, 406) = 812 / 406

GCD(2, 406) = 2

GCD of 720, 734, 406 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 609, 171, 793
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• GCD of 126, 106, 329
• GCD of 493, 617, 944
• GCD of 725, 654, 206

1. What is the GCD of 720, 734, 406?

GCD of 720, 734, 406 is 2

2. Where do I get the detailed procedure to find GCD of 720, 734, 406?

You can find a detailed procedure to find GCD of 720, 734, 406 on our page.

3. How to find GCD of 720, 734, 406 on a calculator?

You can find the GCD of 720, 734, 406 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.