GCD of 738, 212, 95, 405 Calculator

Given Input numbers are 738, 212, 95, 405

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 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Greatest Common Divisior

We found the divisors of 738, 212, 95, 405 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 212, 95, 405 is 1.

Therefore, GCD of numbers 738, 212, 95, 405 is 1

Given Input Data is 738, 212, 95, 405

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 212 is 2 x 2 x 53

Prime Factorization of 95 is 5 x 19

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

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, 212) = 78228

GCD(738, 212) = ( 738 x 212 ) / 78228

GCD(738, 212) = 156456 / 78228

GCD(738, 212) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 95

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

LCM(2, 95) = 190

GCD(2, 95) = ( 2 x 95 ) / 190

GCD(2, 95) = 190 / 190

GCD(2, 95) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 405

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

LCM(1, 405) = 405

GCD(1, 405) = ( 1 x 405 ) / 405

GCD(1, 405) = 405 / 405

GCD(1, 405) = 1

GCD of 738, 212, 95, 405 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 372, 932, 46, 103
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• GCD of 132, 725, 64, 199
• GCD of 594, 531, 78, 173
• GCD of 565, 236, 22, 537

1. What is the GCD of 738, 212, 95, 405?

GCD of 738, 212, 95, 405 is 1

2. Where do I get the detailed procedure to find GCD of 738, 212, 95, 405?

You can find a detailed procedure to find GCD of 738, 212, 95, 405 on our page.

3. How to find GCD of 738, 212, 95, 405 on a calculator?

You can find the GCD of 738, 212, 95, 405 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.