GCD of 369, 646, 256, 220 Calculator

Given Input numbers are 369, 646, 256, 220

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

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 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Greatest Common Divisior

We found the divisors of 369, 646, 256, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 646, 256, 220 is 1.

Therefore, GCD of numbers 369, 646, 256, 220 is 1

Given Input Data is 369, 646, 256, 220

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 646 is 2 x 17 x 19

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

Prime Factorization of 220 is 2 x 2 x 5 x 11

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(369, 646) = 238374

GCD(369, 646) = ( 369 x 646 ) / 238374

GCD(369, 646) = 238374 / 238374

GCD(369, 646) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 256

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

LCM(1, 256) = 256

GCD(1, 256) = ( 1 x 256 ) / 256

GCD(1, 256) = 256 / 256

GCD(1, 256) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 220

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

LCM(1, 220) = 220

GCD(1, 220) = ( 1 x 220 ) / 220

GCD(1, 220) = 220 / 220

GCD(1, 220) = 1

GCD of 369, 646, 256, 220 is 1

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1. What is the GCD of 369, 646, 256, 220?

GCD of 369, 646, 256, 220 is 1

2. Where do I get the detailed procedure to find GCD of 369, 646, 256, 220?

You can find a detailed procedure to find GCD of 369, 646, 256, 220 on our page.

3. How to find GCD of 369, 646, 256, 220 on a calculator?

You can find the GCD of 369, 646, 256, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.