GCD of 738, 176, 27, 906 Calculator

Given Input numbers are 738, 176, 27, 906

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

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 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 906

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

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

Greatest Common Divisior

We found the divisors of 738, 176, 27, 906 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 176, 27, 906 is 1.

Therefore, GCD of numbers 738, 176, 27, 906 is 1

Given Input Data is 738, 176, 27, 906

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

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

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 906 is 2 x 3 x 151

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(738, 176) = 64944

GCD(738, 176) = ( 738 x 176 ) / 64944

GCD(738, 176) = 129888 / 64944

GCD(738, 176) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 27

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

LCM(2, 27) = 54

GCD(2, 27) = ( 2 x 27 ) / 54

GCD(2, 27) = 54 / 54

GCD(2, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 906

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

LCM(1, 906) = 906

GCD(1, 906) = ( 1 x 906 ) / 906

GCD(1, 906) = 906 / 906

GCD(1, 906) = 1

GCD of 738, 176, 27, 906 is 1

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• GCD of 987, 169, 48, 440
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1. What is the GCD of 738, 176, 27, 906?

GCD of 738, 176, 27, 906 is 1

2. Where do I get the detailed procedure to find GCD of 738, 176, 27, 906?

You can find a detailed procedure to find GCD of 738, 176, 27, 906 on our page.

3. How to find GCD of 738, 176, 27, 906 on a calculator?

You can find the GCD of 738, 176, 27, 906 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.