GCD of 532, 202, 566, 466 Calculator

Given Input numbers are 532, 202, 566, 466

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

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 202

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

1, 2, 101, 202

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Greatest Common Divisior

We found the divisors of 532, 202, 566, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 532, 202, 566, 466 is 2.

Therefore, GCD of numbers 532, 202, 566, 466 is 2

Given Input Data is 532, 202, 566, 466

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

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 202 is 2 x 101

Prime Factorization of 566 is 2 x 283

Prime Factorization of 466 is 2 x 233

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(532, 202) = 53732

GCD(532, 202) = ( 532 x 202 ) / 53732

GCD(532, 202) = 107464 / 53732

GCD(532, 202) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 566

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

LCM(2, 566) = 566

GCD(2, 566) = ( 2 x 566 ) / 566

GCD(2, 566) = 1132 / 566

GCD(2, 566) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 466

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

LCM(2, 466) = 466

GCD(2, 466) = ( 2 x 466 ) / 466

GCD(2, 466) = 932 / 466

GCD(2, 466) = 2

GCD of 532, 202, 566, 466 is 2

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1. What is the GCD of 532, 202, 566, 466?

GCD of 532, 202, 566, 466 is 2

2. Where do I get the detailed procedure to find GCD of 532, 202, 566, 466?

You can find a detailed procedure to find GCD of 532, 202, 566, 466 on our page.

3. How to find GCD of 532, 202, 566, 466 on a calculator?

You can find the GCD of 532, 202, 566, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.