GCD of 202, 580, 44, 528 Calculator

Given Input numbers are 202, 580, 44, 528

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 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Greatest Common Divisior

We found the divisors of 202, 580, 44, 528 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 202, 580, 44, 528 is 2.

Therefore, GCD of numbers 202, 580, 44, 528 is 2

Given Input Data is 202, 580, 44, 528

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

Prime Factorization of 202 is 2 x 101

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 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(202, 580) = 58580

GCD(202, 580) = ( 202 x 580 ) / 58580

GCD(202, 580) = 117160 / 58580

GCD(202, 580) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 44

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

LCM(2, 44) = 44

GCD(2, 44) = ( 2 x 44 ) / 44

GCD(2, 44) = 88 / 44

GCD(2, 44) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 528

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

LCM(2, 528) = 528

GCD(2, 528) = ( 2 x 528 ) / 528

GCD(2, 528) = 1056 / 528

GCD(2, 528) = 2

GCD of 202, 580, 44, 528 is 2

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1. What is the GCD of 202, 580, 44, 528?

GCD of 202, 580, 44, 528 is 2

2. Where do I get the detailed procedure to find GCD of 202, 580, 44, 528?

You can find a detailed procedure to find GCD of 202, 580, 44, 528 on our page.

3. How to find GCD of 202, 580, 44, 528 on a calculator?

You can find the GCD of 202, 580, 44, 528 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.