GCD of 504, 520, 249, 827 Calculator

Given Input numbers are 504, 520, 249, 827

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

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

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Greatest Common Divisior

We found the divisors of 504, 520, 249, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 520, 249, 827 is 1.

Therefore, GCD of numbers 504, 520, 249, 827 is 1

Given Input Data is 504, 520, 249, 827

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

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

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 249 is 3 x 83

Prime Factorization of 827 is 827

The above numbers do not have any common prime factor. So GCD is 1

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(504, 520) = 32760

GCD(504, 520) = ( 504 x 520 ) / 32760

GCD(504, 520) = 262080 / 32760

GCD(504, 520) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 249

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

LCM(8, 249) = 1992

GCD(8, 249) = ( 8 x 249 ) / 1992

GCD(8, 249) = 1992 / 1992

GCD(8, 249) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 827

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

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

GCD(1, 827) = 827 / 827

GCD(1, 827) = 1

GCD of 504, 520, 249, 827 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 669, 217, 159, 814
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• GCD of 850, 329, 277, 659

1. What is the GCD of 504, 520, 249, 827?

GCD of 504, 520, 249, 827 is 1

2. Where do I get the detailed procedure to find GCD of 504, 520, 249, 827?

You can find a detailed procedure to find GCD of 504, 520, 249, 827 on our page.

3. How to find GCD of 504, 520, 249, 827 on a calculator?

You can find the GCD of 504, 520, 249, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.