GCD of 647, 422, 71, 756 Calculator

Given Input numbers are 647, 422, 71, 756

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

Divisors of 647

List of positive integer divisors of 647 that divides 647 without a remainder.

1, 647

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Greatest Common Divisior

We found the divisors of 647, 422, 71, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 647, 422, 71, 756 is 1.

Therefore, GCD of numbers 647, 422, 71, 756 is 1

Given Input Data is 647, 422, 71, 756

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

Prime Factorization of 647 is 647

Prime Factorization of 422 is 2 x 211

Prime Factorization of 71 is 71

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

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(647, 422) = 273034

GCD(647, 422) = ( 647 x 422 ) / 273034

GCD(647, 422) = 273034 / 273034

GCD(647, 422) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 756

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

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

GCD(1, 756) = 756 / 756

GCD(1, 756) = 1

GCD of 647, 422, 71, 756 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 899, 543, 33, 112
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• GCD of 295, 670, 70, 404

1. What is the GCD of 647, 422, 71, 756?

GCD of 647, 422, 71, 756 is 1

2. Where do I get the detailed procedure to find GCD of 647, 422, 71, 756?

You can find a detailed procedure to find GCD of 647, 422, 71, 756 on our page.

3. How to find GCD of 647, 422, 71, 756 on a calculator?

You can find the GCD of 647, 422, 71, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.