GCD of 530, 764, 282, 166 Calculator

Given Input numbers are 530, 764, 282, 166

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

Divisors of 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Greatest Common Divisior

We found the divisors of 530, 764, 282, 166 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 530, 764, 282, 166 is 2.

Therefore, GCD of numbers 530, 764, 282, 166 is 2

Given Input Data is 530, 764, 282, 166

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

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 166 is 2 x 83

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(530, 764) = 202460

GCD(530, 764) = ( 530 x 764 ) / 202460

GCD(530, 764) = 404920 / 202460

GCD(530, 764) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 282

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

LCM(2, 282) = 282

GCD(2, 282) = ( 2 x 282 ) / 282

GCD(2, 282) = 564 / 282

GCD(2, 282) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 166

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

LCM(2, 166) = 166

GCD(2, 166) = ( 2 x 166 ) / 166

GCD(2, 166) = 332 / 166

GCD(2, 166) = 2

GCD of 530, 764, 282, 166 is 2

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1. What is the GCD of 530, 764, 282, 166?

GCD of 530, 764, 282, 166 is 2

2. Where do I get the detailed procedure to find GCD of 530, 764, 282, 166?

You can find a detailed procedure to find GCD of 530, 764, 282, 166 on our page.

3. How to find GCD of 530, 764, 282, 166 on a calculator?

You can find the GCD of 530, 764, 282, 166 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.