GCD of 463, 921, 65, 656 Calculator

Given Input numbers are 463, 921, 65, 656

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

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Greatest Common Divisior

We found the divisors of 463, 921, 65, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 463, 921, 65, 656 is 1.

Therefore, GCD of numbers 463, 921, 65, 656 is 1

Given Input Data is 463, 921, 65, 656

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

Prime Factorization of 463 is 463

Prime Factorization of 921 is 3 x 307

Prime Factorization of 65 is 5 x 13

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

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(463, 921) = 426423

GCD(463, 921) = ( 463 x 921 ) / 426423

GCD(463, 921) = 426423 / 426423

GCD(463, 921) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 656

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

LCM(1, 656) = 656

GCD(1, 656) = ( 1 x 656 ) / 656

GCD(1, 656) = 656 / 656

GCD(1, 656) = 1

GCD of 463, 921, 65, 656 is 1

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1. What is the GCD of 463, 921, 65, 656?

GCD of 463, 921, 65, 656 is 1

2. Where do I get the detailed procedure to find GCD of 463, 921, 65, 656?

You can find a detailed procedure to find GCD of 463, 921, 65, 656 on our page.

3. How to find GCD of 463, 921, 65, 656 on a calculator?

You can find the GCD of 463, 921, 65, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.