GCD of 220, 366, 744, 506 Calculator

Given Input numbers are 220, 366, 744, 506

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

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

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 506

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

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

Greatest Common Divisior

We found the divisors of 220, 366, 744, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 366, 744, 506 is 2.

Therefore, GCD of numbers 220, 366, 744, 506 is 2

Given Input Data is 220, 366, 744, 506

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

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

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 506 is 2 x 11 x 23

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(220, 366) = 40260

GCD(220, 366) = ( 220 x 366 ) / 40260

GCD(220, 366) = 80520 / 40260

GCD(220, 366) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 744

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

LCM(2, 744) = 744

GCD(2, 744) = ( 2 x 744 ) / 744

GCD(2, 744) = 1488 / 744

GCD(2, 744) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 506

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

LCM(2, 506) = 506

GCD(2, 506) = ( 2 x 506 ) / 506

GCD(2, 506) = 1012 / 506

GCD(2, 506) = 2

GCD of 220, 366, 744, 506 is 2

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1. What is the GCD of 220, 366, 744, 506?

GCD of 220, 366, 744, 506 is 2

2. Where do I get the detailed procedure to find GCD of 220, 366, 744, 506?

You can find a detailed procedure to find GCD of 220, 366, 744, 506 on our page.

3. How to find GCD of 220, 366, 744, 506 on a calculator?

You can find the GCD of 220, 366, 744, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.