GCD of 470, 414, 747 Calculator

Given Input numbers are 470, 414, 747

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

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

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 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Greatest Common Divisior

We found the divisors of 470, 414, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 414, 747 is 1.

Therefore, GCD of numbers 470, 414, 747 is 1

Given Input Data is 470, 414, 747

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

Prime Factorization of 470 is 2 x 5 x 47

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

Prime Factorization of 747 is 3 x 3 x 83

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(470, 414) = 97290

GCD(470, 414) = ( 470 x 414 ) / 97290

GCD(470, 414) = 194580 / 97290

GCD(470, 414) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 747

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

LCM(2, 747) = 1494

GCD(2, 747) = ( 2 x 747 ) / 1494

GCD(2, 747) = 1494 / 1494

GCD(2, 747) = 1

GCD of 470, 414, 747 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 470, 414, 747?

GCD of 470, 414, 747 is 1

2. Where do I get the detailed procedure to find GCD of 470, 414, 747?

You can find a detailed procedure to find GCD of 470, 414, 747 on our page.

3. How to find GCD of 470, 414, 747 on a calculator?

You can find the GCD of 470, 414, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.