GCD of 182, 652, 284, 410 Calculator

Given Input numbers are 182, 652, 284, 410

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

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Greatest Common Divisior

We found the divisors of 182, 652, 284, 410 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 182, 652, 284, 410 is 2.

Therefore, GCD of numbers 182, 652, 284, 410 is 2

Given Input Data is 182, 652, 284, 410

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

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 652 is 2 x 2 x 163

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 410 is 2 x 5 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(182, 652) = 59332

GCD(182, 652) = ( 182 x 652 ) / 59332

GCD(182, 652) = 118664 / 59332

GCD(182, 652) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 284

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

LCM(2, 284) = 284

GCD(2, 284) = ( 2 x 284 ) / 284

GCD(2, 284) = 568 / 284

GCD(2, 284) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 410

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

LCM(2, 410) = 410

GCD(2, 410) = ( 2 x 410 ) / 410

GCD(2, 410) = 820 / 410

GCD(2, 410) = 2

GCD of 182, 652, 284, 410 is 2

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1. What is the GCD of 182, 652, 284, 410?

GCD of 182, 652, 284, 410 is 2

2. Where do I get the detailed procedure to find GCD of 182, 652, 284, 410?

You can find a detailed procedure to find GCD of 182, 652, 284, 410 on our page.

3. How to find GCD of 182, 652, 284, 410 on a calculator?

You can find the GCD of 182, 652, 284, 410 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.