GCD of 738, 804, 165, 514 Calculator

Given Input numbers are 738, 804, 165, 514

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 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Greatest Common Divisior

We found the divisors of 738, 804, 165, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 804, 165, 514 is 1.

Therefore, GCD of numbers 738, 804, 165, 514 is 1

Given Input Data is 738, 804, 165, 514

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 804 is 2 x 2 x 3 x 67

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 514 is 2 x 257

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, 804) = 98892

GCD(738, 804) = ( 738 x 804 ) / 98892

GCD(738, 804) = 593352 / 98892

GCD(738, 804) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 165

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

LCM(6, 165) = 330

GCD(6, 165) = ( 6 x 165 ) / 330

GCD(6, 165) = 990 / 330

GCD(6, 165) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 514

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

LCM(3, 514) = 1542

GCD(3, 514) = ( 3 x 514 ) / 1542

GCD(3, 514) = 1542 / 1542

GCD(3, 514) = 1

GCD of 738, 804, 165, 514 is 1

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• GCD of 199, 514, 889, 781
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1. What is the GCD of 738, 804, 165, 514?

GCD of 738, 804, 165, 514 is 1

2. Where do I get the detailed procedure to find GCD of 738, 804, 165, 514?

You can find a detailed procedure to find GCD of 738, 804, 165, 514 on our page.

3. How to find GCD of 738, 804, 165, 514 on a calculator?

You can find the GCD of 738, 804, 165, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.