GCD of 282, 572, 236, 364 Calculator

Given Input numbers are 282, 572, 236, 364

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

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 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 282, 572, 236, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 282, 572, 236, 364 is 2.

Therefore, GCD of numbers 282, 572, 236, 364 is 2

Given Input Data is 282, 572, 236, 364

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

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 572 is 2 x 2 x 11 x 13

Prime Factorization of 236 is 2 x 2 x 59

Prime Factorization of 364 is 2 x 2 x 7 x 13

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(282, 572) = 80652

GCD(282, 572) = ( 282 x 572 ) / 80652

GCD(282, 572) = 161304 / 80652

GCD(282, 572) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 236

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

LCM(2, 236) = 236

GCD(2, 236) = ( 2 x 236 ) / 236

GCD(2, 236) = 472 / 236

GCD(2, 236) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 364

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

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

GCD(2, 364) = 728 / 364

GCD(2, 364) = 2

GCD of 282, 572, 236, 364 is 2

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1. What is the GCD of 282, 572, 236, 364?

GCD of 282, 572, 236, 364 is 2

2. Where do I get the detailed procedure to find GCD of 282, 572, 236, 364?

You can find a detailed procedure to find GCD of 282, 572, 236, 364 on our page.

3. How to find GCD of 282, 572, 236, 364 on a calculator?

You can find the GCD of 282, 572, 236, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.