GCD of 504, 616, 58, 471 Calculator

Given Input numbers are 504, 616, 58, 471

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 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Greatest Common Divisior

We found the divisors of 504, 616, 58, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 616, 58, 471 is 1.

Therefore, GCD of numbers 504, 616, 58, 471 is 1

Given Input Data is 504, 616, 58, 471

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 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 58 is 2 x 29

Prime Factorization of 471 is 3 x 157

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, 616) = 5544

GCD(504, 616) = ( 504 x 616 ) / 5544

GCD(504, 616) = 310464 / 5544

GCD(504, 616) = 56

Step2:

Here we consider the GCD from the above i.e. 56 as first number and the next as 58

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

LCM(56, 58) = 1624

GCD(56, 58) = ( 56 x 58 ) / 1624

GCD(56, 58) = 3248 / 1624

GCD(56, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 471

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

LCM(2, 471) = 942

GCD(2, 471) = ( 2 x 471 ) / 942

GCD(2, 471) = 942 / 942

GCD(2, 471) = 1

GCD of 504, 616, 58, 471 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 353, 737, 49, 159
• GCD of 870, 502, 37, 531
• GCD of 763, 965, 59, 882
• GCD of 236, 650, 98, 763
• GCD of 574, 192, 16, 722

1. What is the GCD of 504, 616, 58, 471?

GCD of 504, 616, 58, 471 is 1

2. Where do I get the detailed procedure to find GCD of 504, 616, 58, 471?

You can find a detailed procedure to find GCD of 504, 616, 58, 471 on our page.

3. How to find GCD of 504, 616, 58, 471 on a calculator?

You can find the GCD of 504, 616, 58, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.