GCD of 506, 303, 64, 220 Calculator

Given Input numbers are 506, 303, 64, 220

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

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

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 506, 303, 64, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 303, 64, 220 is 1.

Therefore, GCD of numbers 506, 303, 64, 220 is 1

Given Input Data is 506, 303, 64, 220

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 303 is 3 x 101

Prime Factorization of 64 is 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(506, 303) = 153318

GCD(506, 303) = ( 506 x 303 ) / 153318

GCD(506, 303) = 153318 / 153318

GCD(506, 303) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 64

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

LCM(1, 64) = 64

GCD(1, 64) = ( 1 x 64 ) / 64

GCD(1, 64) = 64 / 64

GCD(1, 64) = 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 506, 303, 64, 220 is 1

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1. What is the GCD of 506, 303, 64, 220?

GCD of 506, 303, 64, 220 is 1

2. Where do I get the detailed procedure to find GCD of 506, 303, 64, 220?

You can find a detailed procedure to find GCD of 506, 303, 64, 220 on our page.

3. How to find GCD of 506, 303, 64, 220 on a calculator?

You can find the GCD of 506, 303, 64, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.