GCD of 684, 442, 503, 895 Calculator

Given Input numbers are 684, 442, 503, 895

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

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 503

List of positive integer divisors of 503 that divides 503 without a remainder.

1, 503

Divisors of 895

List of positive integer divisors of 895 that divides 895 without a remainder.

1, 5, 179, 895

Greatest Common Divisior

We found the divisors of 684, 442, 503, 895 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 442, 503, 895 is 1.

Therefore, GCD of numbers 684, 442, 503, 895 is 1

Given Input Data is 684, 442, 503, 895

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

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 503 is 503

Prime Factorization of 895 is 5 x 179

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(684, 442) = 151164

GCD(684, 442) = ( 684 x 442 ) / 151164

GCD(684, 442) = 302328 / 151164

GCD(684, 442) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 503

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

LCM(2, 503) = 1006

GCD(2, 503) = ( 2 x 503 ) / 1006

GCD(2, 503) = 1006 / 1006

GCD(2, 503) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 895

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

LCM(1, 895) = 895

GCD(1, 895) = ( 1 x 895 ) / 895

GCD(1, 895) = 895 / 895

GCD(1, 895) = 1

GCD of 684, 442, 503, 895 is 1

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1. What is the GCD of 684, 442, 503, 895?

GCD of 684, 442, 503, 895 is 1

2. Where do I get the detailed procedure to find GCD of 684, 442, 503, 895?

You can find a detailed procedure to find GCD of 684, 442, 503, 895 on our page.

3. How to find GCD of 684, 442, 503, 895 on a calculator?

You can find the GCD of 684, 442, 503, 895 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.