GCD of 28, 162, 504, 220 Calculator

Given Input numbers are 28, 162, 504, 220

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

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

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 28, 162, 504, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 162, 504, 220 is 2.

Therefore, GCD of numbers 28, 162, 504, 220 is 2

Given Input Data is 28, 162, 504, 220

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

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

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

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(28, 162) = 2268

GCD(28, 162) = ( 28 x 162 ) / 2268

GCD(28, 162) = 4536 / 2268

GCD(28, 162) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 504

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

LCM(2, 504) = 504

GCD(2, 504) = ( 2 x 504 ) / 504

GCD(2, 504) = 1008 / 504

GCD(2, 504) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 220

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

LCM(2, 220) = 220

GCD(2, 220) = ( 2 x 220 ) / 220

GCD(2, 220) = 440 / 220

GCD(2, 220) = 2

GCD of 28, 162, 504, 220 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 494, 549, 128
• GCD of 65, 944, 435, 191
• GCD of 15, 560, 842, 414
• GCD of 36, 969, 624, 696
• GCD of 39, 272, 115, 336

1. What is the GCD of 28, 162, 504, 220?

GCD of 28, 162, 504, 220 is 2

2. Where do I get the detailed procedure to find GCD of 28, 162, 504, 220?

You can find a detailed procedure to find GCD of 28, 162, 504, 220 on our page.

3. How to find GCD of 28, 162, 504, 220 on a calculator?

You can find the GCD of 28, 162, 504, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.