GCD of 350, 488, 647, 305 Calculator

Given Input numbers are 350, 488, 647, 305

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

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 647

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

1, 647

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Greatest Common Divisior

We found the divisors of 350, 488, 647, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 488, 647, 305 is 1.

Therefore, GCD of numbers 350, 488, 647, 305 is 1

Given Input Data is 350, 488, 647, 305

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

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 647 is 647

Prime Factorization of 305 is 5 x 61

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(350, 488) = 85400

GCD(350, 488) = ( 350 x 488 ) / 85400

GCD(350, 488) = 170800 / 85400

GCD(350, 488) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 647

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

LCM(2, 647) = 1294

GCD(2, 647) = ( 2 x 647 ) / 1294

GCD(2, 647) = 1294 / 1294

GCD(2, 647) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 305

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

LCM(1, 305) = 305

GCD(1, 305) = ( 1 x 305 ) / 305

GCD(1, 305) = 305 / 305

GCD(1, 305) = 1

GCD of 350, 488, 647, 305 is 1

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• GCD of 284, 545, 656, 997
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• GCD of 395, 784, 759, 991

1. What is the GCD of 350, 488, 647, 305?

GCD of 350, 488, 647, 305 is 1

2. Where do I get the detailed procedure to find GCD of 350, 488, 647, 305?

You can find a detailed procedure to find GCD of 350, 488, 647, 305 on our page.

3. How to find GCD of 350, 488, 647, 305 on a calculator?

You can find the GCD of 350, 488, 647, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.