GCD of 84, 638, 202, 570 Calculator

Given Input numbers are 84, 638, 202, 570

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

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 202

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

1, 2, 101, 202

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Greatest Common Divisior

We found the divisors of 84, 638, 202, 570 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 638, 202, 570 is 2.

Therefore, GCD of numbers 84, 638, 202, 570 is 2

Given Input Data is 84, 638, 202, 570

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 202 is 2 x 101

Prime Factorization of 570 is 2 x 3 x 5 x 19

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(84, 638) = 26796

GCD(84, 638) = ( 84 x 638 ) / 26796

GCD(84, 638) = 53592 / 26796

GCD(84, 638) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 202

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

LCM(2, 202) = 202

GCD(2, 202) = ( 2 x 202 ) / 202

GCD(2, 202) = 404 / 202

GCD(2, 202) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 570

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

LCM(2, 570) = 570

GCD(2, 570) = ( 2 x 570 ) / 570

GCD(2, 570) = 1140 / 570

GCD(2, 570) = 2

GCD of 84, 638, 202, 570 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 23, 578, 655, 765
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• GCD of 94, 904, 381, 177

1. What is the GCD of 84, 638, 202, 570?

GCD of 84, 638, 202, 570 is 2

2. Where do I get the detailed procedure to find GCD of 84, 638, 202, 570?

You can find a detailed procedure to find GCD of 84, 638, 202, 570 on our page.

3. How to find GCD of 84, 638, 202, 570 on a calculator?

You can find the GCD of 84, 638, 202, 570 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.