GCD of 256, 621, 345, 420 Calculator

Given Input numbers are 256, 621, 345, 420

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

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 621

List of positive integer divisors of 621 that divides 621 without a remainder.

1, 3, 9, 23, 27, 69, 207, 621

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Greatest Common Divisior

We found the divisors of 256, 621, 345, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 256, 621, 345, 420 is 1.

Therefore, GCD of numbers 256, 621, 345, 420 is 1

Given Input Data is 256, 621, 345, 420

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

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 621 is 3 x 3 x 3 x 23

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 420 is 2 x 2 x 3 x 5 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(256, 621) = 158976

GCD(256, 621) = ( 256 x 621 ) / 158976

GCD(256, 621) = 158976 / 158976

GCD(256, 621) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

GCD of 256, 621, 345, 420 is 1

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1. What is the GCD of 256, 621, 345, 420?

GCD of 256, 621, 345, 420 is 1

2. Where do I get the detailed procedure to find GCD of 256, 621, 345, 420?

You can find a detailed procedure to find GCD of 256, 621, 345, 420 on our page.

3. How to find GCD of 256, 621, 345, 420 on a calculator?

You can find the GCD of 256, 621, 345, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.