GCD of 227, 502, 738, 972 Calculator

Given Input numbers are 227, 502, 738, 972

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

Divisors of 227

List of positive integer divisors of 227 that divides 227 without a remainder.

1, 227

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Greatest Common Divisior

We found the divisors of 227, 502, 738, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 227, 502, 738, 972 is 1.

Therefore, GCD of numbers 227, 502, 738, 972 is 1

Given Input Data is 227, 502, 738, 972

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

Prime Factorization of 227 is 227

Prime Factorization of 502 is 2 x 251

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

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(227, 502) = 113954

GCD(227, 502) = ( 227 x 502 ) / 113954

GCD(227, 502) = 113954 / 113954

GCD(227, 502) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

GCD of 227, 502, 738, 972 is 1

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1. What is the GCD of 227, 502, 738, 972?

GCD of 227, 502, 738, 972 is 1

2. Where do I get the detailed procedure to find GCD of 227, 502, 738, 972?

You can find a detailed procedure to find GCD of 227, 502, 738, 972 on our page.

3. How to find GCD of 227, 502, 738, 972 on a calculator?

You can find the GCD of 227, 502, 738, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.