GCD of 564, 352, 42, 652 Calculator

Given Input numbers are 564, 352, 42, 652

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

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 652

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

1, 2, 4, 163, 326, 652

Greatest Common Divisior

We found the divisors of 564, 352, 42, 652 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 352, 42, 652 is 2.

Therefore, GCD of numbers 564, 352, 42, 652 is 2

Given Input Data is 564, 352, 42, 652

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

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 652 is 2 x 2 x 163

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(564, 352) = 49632

GCD(564, 352) = ( 564 x 352 ) / 49632

GCD(564, 352) = 198528 / 49632

GCD(564, 352) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 42

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

LCM(4, 42) = 84

GCD(4, 42) = ( 4 x 42 ) / 84

GCD(4, 42) = 168 / 84

GCD(4, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 652

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

LCM(2, 652) = 652

GCD(2, 652) = ( 2 x 652 ) / 652

GCD(2, 652) = 1304 / 652

GCD(2, 652) = 2

GCD of 564, 352, 42, 652 is 2

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1. What is the GCD of 564, 352, 42, 652?

GCD of 564, 352, 42, 652 is 2

2. Where do I get the detailed procedure to find GCD of 564, 352, 42, 652?

You can find a detailed procedure to find GCD of 564, 352, 42, 652 on our page.

3. How to find GCD of 564, 352, 42, 652 on a calculator?

You can find the GCD of 564, 352, 42, 652 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.