GCD of 30, 647, 904, 764 Calculator

Given Input numbers are 30, 647, 904, 764

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

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 647

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

1, 647

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Greatest Common Divisior

We found the divisors of 30, 647, 904, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 647, 904, 764 is 1.

Therefore, GCD of numbers 30, 647, 904, 764 is 1

Given Input Data is 30, 647, 904, 764

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

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 647 is 647

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 764 is 2 x 2 x 191

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(30, 647) = 19410

GCD(30, 647) = ( 30 x 647 ) / 19410

GCD(30, 647) = 19410 / 19410

GCD(30, 647) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 904

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

LCM(1, 904) = 904

GCD(1, 904) = ( 1 x 904 ) / 904

GCD(1, 904) = 904 / 904

GCD(1, 904) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 764

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

LCM(1, 764) = 764

GCD(1, 764) = ( 1 x 764 ) / 764

GCD(1, 764) = 764 / 764

GCD(1, 764) = 1

GCD of 30, 647, 904, 764 is 1

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1. What is the GCD of 30, 647, 904, 764?

GCD of 30, 647, 904, 764 is 1

2. Where do I get the detailed procedure to find GCD of 30, 647, 904, 764?

You can find a detailed procedure to find GCD of 30, 647, 904, 764 on our page.

3. How to find GCD of 30, 647, 904, 764 on a calculator?

You can find the GCD of 30, 647, 904, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.