GCD of 54, 852, 314, 503 Calculator

Given Input numbers are 54, 852, 314, 503

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

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 503

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

1, 503

Greatest Common Divisior

We found the divisors of 54, 852, 314, 503 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 852, 314, 503 is 1.

Therefore, GCD of numbers 54, 852, 314, 503 is 1

Given Input Data is 54, 852, 314, 503

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

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 314 is 2 x 157

Prime Factorization of 503 is 503

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(54, 852) = 7668

GCD(54, 852) = ( 54 x 852 ) / 7668

GCD(54, 852) = 46008 / 7668

GCD(54, 852) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 314

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

LCM(6, 314) = 942

GCD(6, 314) = ( 6 x 314 ) / 942

GCD(6, 314) = 1884 / 942

GCD(6, 314) = 2

Step3:

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

GCD of 54, 852, 314, 503 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 96, 166, 730, 279
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• GCD of 88, 950, 688, 597

1. What is the GCD of 54, 852, 314, 503?

GCD of 54, 852, 314, 503 is 1

2. Where do I get the detailed procedure to find GCD of 54, 852, 314, 503?

You can find a detailed procedure to find GCD of 54, 852, 314, 503 on our page.

3. How to find GCD of 54, 852, 314, 503 on a calculator?

You can find the GCD of 54, 852, 314, 503 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.