GCD of 738, 673, 30, 226 Calculator

Given Input numbers are 738, 673, 30, 226

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 673

List of positive integer divisors of 673 that divides 673 without a remainder.

1, 673

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Greatest Common Divisior

We found the divisors of 738, 673, 30, 226 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 673, 30, 226 is 1.

Therefore, GCD of numbers 738, 673, 30, 226 is 1

Given Input Data is 738, 673, 30, 226

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 673 is 673

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 226 is 2 x 113

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, 673) = 496674

GCD(738, 673) = ( 738 x 673 ) / 496674

GCD(738, 673) = 496674 / 496674

GCD(738, 673) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 226

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

LCM(1, 226) = 226

GCD(1, 226) = ( 1 x 226 ) / 226

GCD(1, 226) = 226 / 226

GCD(1, 226) = 1

GCD of 738, 673, 30, 226 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 178, 633, 77, 918
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• GCD of 356, 471, 96, 527
• GCD of 110, 559, 56, 581
• GCD of 136, 754, 75, 332

1. What is the GCD of 738, 673, 30, 226?

GCD of 738, 673, 30, 226 is 1

2. Where do I get the detailed procedure to find GCD of 738, 673, 30, 226?

You can find a detailed procedure to find GCD of 738, 673, 30, 226 on our page.

3. How to find GCD of 738, 673, 30, 226 on a calculator?

You can find the GCD of 738, 673, 30, 226 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.