GCD of 647, 397, 784, 658 Calculator

Given Input numbers are 647, 397, 784, 658

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 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Greatest Common Divisior

We found the divisors of 647, 397, 784, 658 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 647, 397, 784, 658 is 1.

Therefore, GCD of numbers 647, 397, 784, 658 is 1

Given Input Data is 647, 397, 784, 658

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

Prime Factorization of 647 is 647

Prime Factorization of 397 is 397

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 658 is 2 x 7 x 47

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, 397) = 256859

GCD(647, 397) = ( 647 x 397 ) / 256859

GCD(647, 397) = 256859 / 256859

GCD(647, 397) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 784

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

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

GCD(1, 784) = 784 / 784

GCD(1, 784) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 658

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

LCM(1, 658) = 658

GCD(1, 658) = ( 1 x 658 ) / 658

GCD(1, 658) = 658 / 658

GCD(1, 658) = 1

GCD of 647, 397, 784, 658 is 1

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1. What is the GCD of 647, 397, 784, 658?

GCD of 647, 397, 784, 658 is 1

2. Where do I get the detailed procedure to find GCD of 647, 397, 784, 658?

You can find a detailed procedure to find GCD of 647, 397, 784, 658 on our page.

3. How to find GCD of 647, 397, 784, 658 on a calculator?

You can find the GCD of 647, 397, 784, 658 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.