GCD of 18, 560, 532, 504 Calculator

Given Input numbers are 18, 560, 532, 504

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

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

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 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Greatest Common Divisior

We found the divisors of 18, 560, 532, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 560, 532, 504 is 2.

Therefore, GCD of numbers 18, 560, 532, 504 is 2

Given Input Data is 18, 560, 532, 504

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

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

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(18, 560) = 5040

GCD(18, 560) = ( 18 x 560 ) / 5040

GCD(18, 560) = 10080 / 5040

GCD(18, 560) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 532

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

LCM(2, 532) = 532

GCD(2, 532) = ( 2 x 532 ) / 532

GCD(2, 532) = 1064 / 532

GCD(2, 532) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 504

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

LCM(2, 504) = 504

GCD(2, 504) = ( 2 x 504 ) / 504

GCD(2, 504) = 1008 / 504

GCD(2, 504) = 2

GCD of 18, 560, 532, 504 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 96, 966, 500, 356
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• GCD of 98, 715, 505, 383
• GCD of 96, 305, 417, 427
• GCD of 23, 235, 836, 212

1. What is the GCD of 18, 560, 532, 504?

GCD of 18, 560, 532, 504 is 2

2. Where do I get the detailed procedure to find GCD of 18, 560, 532, 504?

You can find a detailed procedure to find GCD of 18, 560, 532, 504 on our page.

3. How to find GCD of 18, 560, 532, 504 on a calculator?

You can find the GCD of 18, 560, 532, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.