GCD of 564, 218, 36, 658 Calculator

Given Input numbers are 564, 218, 36, 658

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 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Greatest Common Divisior

We found the divisors of 564, 218, 36, 658 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 218, 36, 658 is 2.

Therefore, GCD of numbers 564, 218, 36, 658 is 2

Given Input Data is 564, 218, 36, 658

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 218 is 2 x 109

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 658 is 2 x 7 x 47

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, 218) = 61476

GCD(564, 218) = ( 564 x 218 ) / 61476

GCD(564, 218) = 122952 / 61476

GCD(564, 218) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 36

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

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 658

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

LCM(2, 658) = 658

GCD(2, 658) = ( 2 x 658 ) / 658

GCD(2, 658) = 1316 / 658

GCD(2, 658) = 2

GCD of 564, 218, 36, 658 is 2

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• GCD of 393, 443, 23, 867
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1. What is the GCD of 564, 218, 36, 658?

GCD of 564, 218, 36, 658 is 2

2. Where do I get the detailed procedure to find GCD of 564, 218, 36, 658?

You can find a detailed procedure to find GCD of 564, 218, 36, 658 on our page.

3. How to find GCD of 564, 218, 36, 658 on a calculator?

You can find the GCD of 564, 218, 36, 658 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.