GCD of 504, 386, 975, 523 Calculator

Given Input numbers are 504, 386, 975, 523

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 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Greatest Common Divisior

We found the divisors of 504, 386, 975, 523 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 386, 975, 523 is 1.

Therefore, GCD of numbers 504, 386, 975, 523 is 1

Given Input Data is 504, 386, 975, 523

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 386 is 2 x 193

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 523 is 523

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, 386) = 97272

GCD(504, 386) = ( 504 x 386 ) / 97272

GCD(504, 386) = 194544 / 97272

GCD(504, 386) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 975

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

LCM(2, 975) = 1950

GCD(2, 975) = ( 2 x 975 ) / 1950

GCD(2, 975) = 1950 / 1950

GCD(2, 975) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 523

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

LCM(1, 523) = 523

GCD(1, 523) = ( 1 x 523 ) / 523

GCD(1, 523) = 523 / 523

GCD(1, 523) = 1

GCD of 504, 386, 975, 523 is 1

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1. What is the GCD of 504, 386, 975, 523?

GCD of 504, 386, 975, 523 is 1

2. Where do I get the detailed procedure to find GCD of 504, 386, 975, 523?

You can find a detailed procedure to find GCD of 504, 386, 975, 523 on our page.

3. How to find GCD of 504, 386, 975, 523 on a calculator?

You can find the GCD of 504, 386, 975, 523 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.