GCD of 10, 738, 485, 229 Calculator

Given Input numbers are 10, 738, 485, 229

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

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 485

List of positive integer divisors of 485 that divides 485 without a remainder.

1, 5, 97, 485

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Greatest Common Divisior

We found the divisors of 10, 738, 485, 229 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 738, 485, 229 is 1.

Therefore, GCD of numbers 10, 738, 485, 229 is 1

Given Input Data is 10, 738, 485, 229

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

Prime Factorization of 10 is 2 x 5

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

Prime Factorization of 485 is 5 x 97

Prime Factorization of 229 is 229

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(10, 738) = 3690

GCD(10, 738) = ( 10 x 738 ) / 3690

GCD(10, 738) = 7380 / 3690

GCD(10, 738) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 485

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

LCM(2, 485) = 970

GCD(2, 485) = ( 2 x 485 ) / 970

GCD(2, 485) = 970 / 970

GCD(2, 485) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 229

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

LCM(1, 229) = 229

GCD(1, 229) = ( 1 x 229 ) / 229

GCD(1, 229) = 229 / 229

GCD(1, 229) = 1

GCD of 10, 738, 485, 229 is 1

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1. What is the GCD of 10, 738, 485, 229?

GCD of 10, 738, 485, 229 is 1

2. Where do I get the detailed procedure to find GCD of 10, 738, 485, 229?

You can find a detailed procedure to find GCD of 10, 738, 485, 229 on our page.

3. How to find GCD of 10, 738, 485, 229 on a calculator?

You can find the GCD of 10, 738, 485, 229 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.