GCD of 202, 902, 320, 520 Calculator

Given Input numbers are 202, 902, 320, 520

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

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 902

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

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

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Greatest Common Divisior

We found the divisors of 202, 902, 320, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 202, 902, 320, 520 is 2.

Therefore, GCD of numbers 202, 902, 320, 520 is 2

Given Input Data is 202, 902, 320, 520

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

Prime Factorization of 202 is 2 x 101

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

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(202, 902) = 91102

GCD(202, 902) = ( 202 x 902 ) / 91102

GCD(202, 902) = 182204 / 91102

GCD(202, 902) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 320

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

LCM(2, 320) = 320

GCD(2, 320) = ( 2 x 320 ) / 320

GCD(2, 320) = 640 / 320

GCD(2, 320) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 520

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

LCM(2, 520) = 520

GCD(2, 520) = ( 2 x 520 ) / 520

GCD(2, 520) = 1040 / 520

GCD(2, 520) = 2

GCD of 202, 902, 320, 520 is 2

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1. What is the GCD of 202, 902, 320, 520?

GCD of 202, 902, 320, 520 is 2

2. Where do I get the detailed procedure to find GCD of 202, 902, 320, 520?

You can find a detailed procedure to find GCD of 202, 902, 320, 520 on our page.

3. How to find GCD of 202, 902, 320, 520 on a calculator?

You can find the GCD of 202, 902, 320, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.