GCD of 504, 880, 768, 403 Calculator

Given Input numbers are 504, 880, 768, 403

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 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

Greatest Common Divisior

We found the divisors of 504, 880, 768, 403 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 880, 768, 403 is 1.

Therefore, GCD of numbers 504, 880, 768, 403 is 1

Given Input Data is 504, 880, 768, 403

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 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 403 is 13 x 31

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, 880) = 55440

GCD(504, 880) = ( 504 x 880 ) / 55440

GCD(504, 880) = 443520 / 55440

GCD(504, 880) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 768

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

LCM(8, 768) = 768

GCD(8, 768) = ( 8 x 768 ) / 768

GCD(8, 768) = 6144 / 768

GCD(8, 768) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 403

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

LCM(8, 403) = 3224

GCD(8, 403) = ( 8 x 403 ) / 3224

GCD(8, 403) = 3224 / 3224

GCD(8, 403) = 1

GCD of 504, 880, 768, 403 is 1

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• GCD of 442, 149, 402, 681
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1. What is the GCD of 504, 880, 768, 403?

GCD of 504, 880, 768, 403 is 1

2. Where do I get the detailed procedure to find GCD of 504, 880, 768, 403?

You can find a detailed procedure to find GCD of 504, 880, 768, 403 on our page.

3. How to find GCD of 504, 880, 768, 403 on a calculator?

You can find the GCD of 504, 880, 768, 403 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.