GCD of 532, 866, 562, 232 Calculator

Given Input numbers are 532, 866, 562, 232

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 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Greatest Common Divisior

We found the divisors of 532, 866, 562, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 532, 866, 562, 232 is 2.

Therefore, GCD of numbers 532, 866, 562, 232 is 2

Given Input Data is 532, 866, 562, 232

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 866 is 2 x 433

Prime Factorization of 562 is 2 x 281

Prime Factorization of 232 is 2 x 2 x 2 x 29

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, 866) = 230356

GCD(532, 866) = ( 532 x 866 ) / 230356

GCD(532, 866) = 460712 / 230356

GCD(532, 866) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 562

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

LCM(2, 562) = 562

GCD(2, 562) = ( 2 x 562 ) / 562

GCD(2, 562) = 1124 / 562

GCD(2, 562) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 232

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

LCM(2, 232) = 232

GCD(2, 232) = ( 2 x 232 ) / 232

GCD(2, 232) = 464 / 232

GCD(2, 232) = 2

GCD of 532, 866, 562, 232 is 2

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1. What is the GCD of 532, 866, 562, 232?

GCD of 532, 866, 562, 232 is 2

2. Where do I get the detailed procedure to find GCD of 532, 866, 562, 232?

You can find a detailed procedure to find GCD of 532, 866, 562, 232 on our page.

3. How to find GCD of 532, 866, 562, 232 on a calculator?

You can find the GCD of 532, 866, 562, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.