GCD of 953, 971, 884, 504 Calculator

Given Input numbers are 953, 971, 884, 504

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

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

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 953, 971, 884, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 953, 971, 884, 504 is 1.

Therefore, GCD of numbers 953, 971, 884, 504 is 1

Given Input Data is 953, 971, 884, 504

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

Prime Factorization of 953 is 953

Prime Factorization of 971 is 971

Prime Factorization of 884 is 2 x 2 x 13 x 17

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

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(953, 971) = 925363

GCD(953, 971) = ( 953 x 971 ) / 925363

GCD(953, 971) = 925363 / 925363

GCD(953, 971) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 884

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

LCM(1, 884) = 884

GCD(1, 884) = ( 1 x 884 ) / 884

GCD(1, 884) = 884 / 884

GCD(1, 884) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 504

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

LCM(1, 504) = 504

GCD(1, 504) = ( 1 x 504 ) / 504

GCD(1, 504) = 504 / 504

GCD(1, 504) = 1

GCD of 953, 971, 884, 504 is 1

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1. What is the GCD of 953, 971, 884, 504?

GCD of 953, 971, 884, 504 is 1

2. Where do I get the detailed procedure to find GCD of 953, 971, 884, 504?

You can find a detailed procedure to find GCD of 953, 971, 884, 504 on our page.

3. How to find GCD of 953, 971, 884, 504 on a calculator?

You can find the GCD of 953, 971, 884, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.