GCD of 20, 224, 176, 902 Calculator

Given Input numbers are 20, 224, 176, 902

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

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Greatest Common Divisior

We found the divisors of 20, 224, 176, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 224, 176, 902 is 2.

Therefore, GCD of numbers 20, 224, 176, 902 is 2

Given Input Data is 20, 224, 176, 902

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 902 is 2 x 11 x 41

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(20, 224) = 1120

GCD(20, 224) = ( 20 x 224 ) / 1120

GCD(20, 224) = 4480 / 1120

GCD(20, 224) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 176

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

LCM(4, 176) = 176

GCD(4, 176) = ( 4 x 176 ) / 176

GCD(4, 176) = 704 / 176

GCD(4, 176) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 902

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

LCM(4, 902) = 1804

GCD(4, 902) = ( 4 x 902 ) / 1804

GCD(4, 902) = 3608 / 1804

GCD(4, 902) = 2

GCD of 20, 224, 176, 902 is 2

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1. What is the GCD of 20, 224, 176, 902?

GCD of 20, 224, 176, 902 is 2

2. Where do I get the detailed procedure to find GCD of 20, 224, 176, 902?

You can find a detailed procedure to find GCD of 20, 224, 176, 902 on our page.

3. How to find GCD of 20, 224, 176, 902 on a calculator?

You can find the GCD of 20, 224, 176, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.