GCD of 564, 900, 124, 818 Calculator

Given Input numbers are 564, 900, 124, 818

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 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Divisors of 818

List of positive integer divisors of 818 that divides 818 without a remainder.

1, 2, 409, 818

Greatest Common Divisior

We found the divisors of 564, 900, 124, 818 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 900, 124, 818 is 2.

Therefore, GCD of numbers 564, 900, 124, 818 is 2

Given Input Data is 564, 900, 124, 818

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 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 124 is 2 x 2 x 31

Prime Factorization of 818 is 2 x 409

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, 900) = 42300

GCD(564, 900) = ( 564 x 900 ) / 42300

GCD(564, 900) = 507600 / 42300

GCD(564, 900) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 124

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

LCM(12, 124) = 372

GCD(12, 124) = ( 12 x 124 ) / 372

GCD(12, 124) = 1488 / 372

GCD(12, 124) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 818

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

LCM(4, 818) = 1636

GCD(4, 818) = ( 4 x 818 ) / 1636

GCD(4, 818) = 3272 / 1636

GCD(4, 818) = 2

GCD of 564, 900, 124, 818 is 2

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1. What is the GCD of 564, 900, 124, 818?

GCD of 564, 900, 124, 818 is 2

2. Where do I get the detailed procedure to find GCD of 564, 900, 124, 818?

You can find a detailed procedure to find GCD of 564, 900, 124, 818 on our page.

3. How to find GCD of 564, 900, 124, 818 on a calculator?

You can find the GCD of 564, 900, 124, 818 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.