GCD of 906, 689, 228, 738 Calculator

Given Input numbers are 906, 689, 228, 738

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

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

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

Greatest Common Divisior

We found the divisors of 906, 689, 228, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 906, 689, 228, 738 is 1.

Therefore, GCD of numbers 906, 689, 228, 738 is 1

Given Input Data is 906, 689, 228, 738

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

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 689 is 13 x 53

Prime Factorization of 228 is 2 x 2 x 3 x 19

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

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(906, 689) = 624234

GCD(906, 689) = ( 906 x 689 ) / 624234

GCD(906, 689) = 624234 / 624234

GCD(906, 689) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 228

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

LCM(1, 228) = 228

GCD(1, 228) = ( 1 x 228 ) / 228

GCD(1, 228) = 228 / 228

GCD(1, 228) = 1

Step3:

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

GCD of 906, 689, 228, 738 is 1

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1. What is the GCD of 906, 689, 228, 738?

GCD of 906, 689, 228, 738 is 1

2. Where do I get the detailed procedure to find GCD of 906, 689, 228, 738?

You can find a detailed procedure to find GCD of 906, 689, 228, 738 on our page.

3. How to find GCD of 906, 689, 228, 738 on a calculator?

You can find the GCD of 906, 689, 228, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.